60228960 has 288 divisors, whose sum is σ = 224423136. Its totient is φ = 13516800.

The previous prime is 60228947. The next prime is 60228983. The reversal of 60228960 is 6982206.

60228960 = T₁₀₃ + T₁₀₄ + ... + T₇₁₂.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987330 + ... + 987390.

It is an arithmetic number, because the mean of its divisors is an integer number (779247).

Almost surely, 2^60228960 is an apocalyptic number.

60228960 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 60228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112211568).

60228960 is an abundant number, since it is smaller than the sum of its proper divisors (164194176).

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

60228960 is a wasteful number, since it uses less digits than its factorization.

60228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 60228960 is about 7760.7319242453. The cubic root of 60228960 is about 391.9841032010.

The spelling of 60228960 in words is "sixty million, two hundred twenty-eight thousand, nine hundred sixty".