58965040 has 80 divisors (see below), whose sum is σ = 143089056. Its totient is φ = 22579200.

The previous prime is 58965019. The next prime is 58965043. The reversal of 58965040 is 4056985.

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

It is not an unprimeable number, because it can be changed into a prime (58965043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209700 + ... + 209980.

Almost surely, 2^58965040 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 58965040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71544528).

58965040 is an abundant number, since it is smaller than the sum of its proper divisors (84124016).

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

58965040 is a wasteful number, since it uses less digits than its factorization.

58965040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 58965040 is about 7678.8697084923. The cubic root of 58965040 is about 389.2227342172. Note that the first 3 decimals are identical.

The spelling of 58965040 in words is "fifty-eight million, nine hundred sixty-five thousand, forty".