58631040 has 384 divisors, whose sum is σ = 233906400. Its totient is φ = 13934592.

The previous prime is 58631039. The next prime is 58631047. The reversal of 58631040 is 4013685.

58631040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 58630995 and 58631013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58631047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021746 + ... + 2021774.

Almost surely, 2^58631040 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 58631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953200).

58631040 is an abundant number, since it is smaller than the sum of its proper divisors (175275360).

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

58631040 is a wasteful number, since it uses less digits than its factorization.

58631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 58631040 is about 7657.0908313798. The cubic root of 58631040 is about 388.4864412912.

It can be divided in two parts, 5863 and 1040, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 58631040 in words is "fifty-eight million, six hundred thirty-one thousand, forty".