58087040 has 128 divisors (see below), whose sum is σ = 156280320. Its totient is φ = 20459520.

The previous prime is 58087039. The next prime is 58087069. The reversal of 58087040 is 4078085.

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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 58086988 and 58087006.

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, 260369 + ... + 260591.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^58087040 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 58087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140160).

58087040 is an abundant number, since it is smaller than the sum of its proper divisors (98193280).

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

58087040 is a wasteful number, since it uses less digits than its factorization.

58087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 58087040 is about 7621.4854195229. The cubic root of 58087040 is about 387.2812001002.

The spelling of 58087040 in words is "fifty-eight million, eighty-seven thousand, forty".