58573840 has 80 divisors (see below), whose sum is σ = 155333808. Its totient is φ = 20348928.

The previous prime is 58573819. The next prime is 58573861. The reversal of 58573840 is 4837585.

It is an interprime number because it is at equal distance from previous prime (58573819) and next prime (58573861).

It can be written as a sum of positive squares in 8 ways, for example, as 1056784 + 57517056 = 1028^2 + 7584^2 .

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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 58573793 and 58573802.

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, 16024 + ... + 19336.

Almost surely, 2^58573840 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 58573840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77666904).

58573840 is an abundant number, since it is smaller than the sum of its proper divisors (96759968).

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

58573840 is a wasteful number, since it uses less digits than its factorization.

58573840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 58573840 is about 7653.3548199466. The cubic root of 58573840 is about 388.3600653721.

The spelling of 58573840 in words is "fifty-eight million, five hundred seventy-three thousand, eight hundred forty".