58688640 has 192 divisors, whose sum is σ = 211947840. Its totient is φ = 14936064.

The previous prime is 58688633. The next prime is 58688653. The reversal of 58688640 is 4688685.

58688640 is a `hidden beast` number, since 586 + 8 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132259 + ... + 132701.

It is an arithmetic number, because the mean of its divisors is an integer number (1103895).

Almost surely, 2^58688640 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 58688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105973920).

58688640 is an abundant number, since it is smaller than the sum of its proper divisors (153259200).

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

58688640 is a wasteful number, since it uses less digits than its factorization.

58688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 58688640 is about 7660.8511276489. The cubic root of 58688640 is about 388.6136179269.

Adding to 58688640 its sum of digits (45), we get a palindrome (58688685).

The spelling of 58688640 in words is "fifty-eight million, six hundred eighty-eight thousand, six hundred forty".