59976 has 72 divisors (see below), whose sum is σ = 200070. Its totient is φ = 16128.

The previous prime is 59971. The next prime is 59981. The reversal of 59976 is 67995.

59976 = 8² + 9² + ... + 56².

It is an interprime number because it is at equal distance from previous prime (59971) and next prime (59981).

It can be written as a sum of positive squares in only one way, i.e., 44100 + 15876 = 210^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 59976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3520 + ... + 3536.

2⁵⁹⁹⁷⁶ is an apocalyptic number.

59976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100035).

59976 is an abundant number, since it is smaller than the sum of its proper divisors (140094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

59976 is a wasteful number, since it uses less digits than its factorization.

59976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 29 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 59976 is about 244.8999795835. The cubic root of 59976 is about 39.1434558920.

It can be divided in two parts, 59 and 976, that added together give a triangular number (1035 = T₄₅).

The spelling of 59976 in words is "fifty-nine thousand, nine hundred seventy-six".