59083920 has 240 divisors, whose sum is σ = 239091840. Its totient is φ = 12773376.

The previous prime is 59083919. The next prime is 59083943. The reversal of 59083920 is 2938095.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95452 + ... + 96068.

It is an arithmetic number, because the mean of its divisors is an integer number (996216).

Almost surely, 2^59083920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59083920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119545920).

59083920 is an abundant number, since it is smaller than the sum of its proper divisors (180007920).

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

59083920 is a wasteful number, since it uses less digits than its factorization.

59083920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 59083920 is about 7686.6065334450. The cubic root of 59083920 is about 389.4841305619.

The spelling of 59083920 in words is "fifty-nine million, eighty-three thousand, nine hundred twenty".