157624641 has 6 divisors (see below), whose sum is σ = 227680050. Its totient is φ = 105083088.

The previous prime is 157624637. The next prime is 157624667. The reversal of 157624641 is 146426751.

157624641 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 2 + 4 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108680625 + 48944016 = 10425^2 + 6996^2 .

It is not a de Polignac number, because 157624641 - 2² = 157624637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 157624596 and 157624605.

It is not an unprimeable number, because it can be changed into a prime (157624601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8756916 + ... + 8756933.

It is an arithmetic number, because the mean of its divisors is an integer number (37946675).

Almost surely, 2^157624641 is an apocalyptic number.

It is an amenable number.

157624641 is a deficient number, since it is larger than the sum of its proper divisors (70055409).

157624641 is a wasteful number, since it uses less digits than its factorization.

157624641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17513855 (or 17513852 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 157624641 is about 12554.8652322516. The cubic root of 157624641 is about 540.1835692771.

The spelling of 157624641 in words is "one hundred fifty-seven million, six hundred twenty-four thousand, six hundred forty-one".