58620240 has 160 divisors (see below), whose sum is σ = 230818560. Its totient is φ = 13395456.

The previous prime is 58620229. The next prime is 58620251. The reversal of 58620240 is 4202685.

It is an interprime number because it is at equal distance from previous prime (58620229) and next prime (58620251).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13182 + ... + 17058.

It is an arithmetic number, because the mean of its divisors is an integer number (1442616).

Almost surely, 2^58620240 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 58620240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115409280).

58620240 is an abundant number, since it is smaller than the sum of its proper divisors (172198320).

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

58620240 is a wasteful number, since it uses less digits than its factorization.

58620240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 58620240 is about 7656.3855702283. The cubic root of 58620240 is about 388.4625864002.

The spelling of 58620240 in words is "fifty-eight million, six hundred twenty thousand, two hundred forty".