18935712 has 72 divisors (see below), whose sum is σ = 55334916. Its totient is φ = 6137856.

The previous prime is 18935701. The next prime is 18935759. The reversal of 18935712 is 21753981.

18935712 is a `hidden beast` number, since 1 + 89 + 3 + 571 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17943696 + 992016 = 4236^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×18935712² = 717122377893888, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 9768 + ... + 11544.

Almost surely, 2^18935712 is an apocalyptic number.

18935712 is a gapful number since it is divisible by the number (12) 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 18935712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27667458).

18935712 is an abundant number, since it is smaller than the sum of its proper divisors (36399204).

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

18935712 is a wasteful number, since it uses less digits than its factorization.

18935712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1819 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 18935712 is about 4351.5183557007. The cubic root of 18935712 is about 266.5388665393.

It can be divided in two parts, 18 and 935712, that multiplied together give a square (16842816 = 4104²).

The spelling of 18935712 in words is "eighteen million, nine hundred thirty-five thousand, seven hundred twelve".