58825440 has 288 divisors, whose sum is σ = 222899040. Its totient is φ = 14598144.

The previous prime is 58825433. The next prime is 58825441. The reversal of 58825440 is 4452885.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 58825395 and 58825404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58825441) by changing a digit.

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, 660916 + ... + 661004.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^58825440 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 58825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

58825440 is an abundant number, since it is smaller than the sum of its proper divisors (164073600).

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

58825440 is a wasteful number, since it uses less digits than its factorization.

58825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 58825440 is about 7669.7744425765. The cubic root of 58825440 is about 388.9153292983.

The spelling of 58825440 in words is "fifty-eight million, eight hundred twenty-five thousand, four hundred forty".