58768144 has 10 divisors (see below), whose sum is σ = 113863310. Its totient is φ = 29384064.

The previous prime is 58768117. The next prime is 58768147. The reversal of 58768144 is 44186785.

It can be written as a sum of positive squares in only one way, i.e., 43401744 + 15366400 = 6588^2 + 3920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 58768144.

It is not an unprimeable number, because it can be changed into a prime (58768147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1836489 + ... + 1836520.

It is an arithmetic number, because the mean of its divisors is an integer number (11386331).

Almost surely, 2^58768144 is an apocalyptic number.

It is an amenable number.

58768144 is a deficient number, since it is larger than the sum of its proper divisors (55095166).

58768144 is a wasteful number, since it uses less digits than its factorization.

58768144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673017 (or 3673011 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The square root of 58768144 is about 7666.0383510650. The cubic root of 58768144 is about 388.7890203903.

Subtracting from 58768144 its product of digits (215040), we obtain a square (58553104 = 7652²).

The spelling of 58768144 in words is "fifty-eight million, seven hundred sixty-eight thousand, one hundred forty-four".