58016640 has 256 divisors, whose sum is σ = 209744640. Its totient is φ = 13516800.

The previous prime is 58016639. The next prime is 58016657. The reversal of 58016640 is 4661085.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 58016598 and 58016607.

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 31 ways as a sum of consecutive naturals, for example, 865887 + ... + 865953.

It is an arithmetic number, because the mean of its divisors is an integer number (819315).

Almost surely, 2^58016640 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 58016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104872320).

58016640 is an abundant number, since it is smaller than the sum of its proper divisors (151728000).

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

58016640 is a wasteful number, since it uses less digits than its factorization.

58016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 58016640 is about 7616.8654970401. The cubic root of 58016640 is about 387.1246785619.

The spelling of 58016640 in words is "fifty-eight million, sixteen thousand, six hundred forty".