58398960 has 80 divisors (see below), whose sum is σ = 184050720. Its totient is φ = 15313920.

The previous prime is 58398959. The next prime is 58398979. The reversal of 58398960 is 6989385.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12646 + ... + 16634.

It is an arithmetic number, because the mean of its divisors is an integer number (2300634).

Almost surely, 2^58398960 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 58398960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92025360).

58398960 is an abundant number, since it is smaller than the sum of its proper divisors (125651760).

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

58398960 is a wasteful number, since it uses less digits than its factorization.

58398960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 58398960 is about 7641.9212244042. The cubic root of 58398960 is about 387.9731798516.

The spelling of 58398960 in words is "fifty-eight million, three hundred ninety-eight thousand, nine hundred sixty".