58561440 has 192 divisors, whose sum is σ = 218453760. Its totient is φ = 12902400.

The previous prime is 58561369. The next prime is 58561441. The reversal of 58561440 is 4416585.

It is not an unprimeable number, because it can be changed into a prime (58561441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97140 + ... + 97740.

It is an arithmetic number, because the mean of its divisors is an integer number (1137780).

Almost surely, 2^58561440 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 58561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109226880).

58561440 is an abundant number, since it is smaller than the sum of its proper divisors (159892320).

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

58561440 is a wasteful number, since it uses less digits than its factorization.

58561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 58561440 is about 7652.5446748124. The cubic root of 58561440 is about 388.3326583438.

The spelling of 58561440 in words is "fifty-eight million, five hundred sixty-one thousand, four hundred forty".