60840 has 72 divisors (see below), whose sum is σ = 214110. Its totient is φ = 14976.

The previous prime is 60821. The next prime is 60859. The reversal of 60840 is 4806.

60840 = T₅₅ + T₅₆ + ... + T₈₀.

60840 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (60821) and next prime (60859).

It can be written as a sum of positive squares in 3 ways, for example, as 26244 + 34596 = 162^2 + 186^2 .

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 (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

60840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4674 + ... + 4686.

2⁶⁰⁸⁴⁰ is an apocalyptic number.

60840 is a gapful number since it is divisible by the number (60) 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 60840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107055).

60840 is an abundant number, since it is smaller than the sum of its proper divisors (153270).

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

60840 is a wasteful number, since it uses less digits than its factorization.

60840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 60840 is about 246.6576574931. The cubic root of 60840 is about 39.3305242336.

It can be divided in two parts, 60 and 840, that added together give a square (900 = 30²).

The spelling of 60840 in words is "sixty thousand, eight hundred forty".