58264960 has 128 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 20914176.

The previous prime is 58264951. The next prime is 58264979. The reversal of 58264960 is 6946285.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 390966 + ... + 391114.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^58264960 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 58264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

58264960 is an abundant number, since it is smaller than the sum of its proper divisors (95959040).

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

58264960 is a wasteful number, since it uses less digits than its factorization.

58264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 58264960 is about 7633.1487605051. The cubic root of 58264960 is about 387.6762098348.

The spelling of 58264960 in words is "fifty-eight million, two hundred sixty-four thousand, nine hundred sixty".