18772560 has 100 divisors (see below), whose sum is σ = 65222388. Its totient is φ = 5004288.

The previous prime is 18772549. The next prime is 18772583. The reversal of 18772560 is 6527781.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 14561856 = 2052^2 + 3816^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 5032 + ... + 7928.

Almost surely, 2^18772560 is an apocalyptic number.

18772560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32611194).

18772560 is an abundant number, since it is smaller than the sum of its proper divisors (46449828).

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

18772560 is a wasteful number, since it uses less digits than its factorization.

18772560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 18772560 is about 4332.7312402225. The cubic root of 18772560 is about 265.7711488234.

The spelling of 18772560 in words is "eighteen million, seven hundred seventy-two thousand, five hundred sixty".