89925160 has 32 divisors (see below), whose sum is σ = 217896840. Its totient is φ = 33202944.

The previous prime is 89925149. The next prime is 89925161. The reversal of 89925160 is 6152998.

It can be written as a sum of positive squares in 4 ways, for example, as 55562116 + 34363044 = 7454^2 + 5862^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (89925161) 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 7 ways as a sum of consecutive naturals, for example, 85947 + ... + 86986.

Almost surely, 2^89925160 is an apocalyptic number.

It is an amenable number.

89925160 is an abundant number, since it is smaller than the sum of its proper divisors (127971680).

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

89925160 is a wasteful number, since it uses less digits than its factorization.

89925160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172957 (or 172953 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 89925160 is about 9482.8877458293. The cubic root of 89925160 is about 448.0162223080.

The spelling of 89925160 in words is "eighty-nine million, nine hundred twenty-five thousand, one hundred sixty".