18701952 has 64 divisors (see below), whose sum is σ = 50232960. Its totient is φ = 6164480.

The previous prime is 18701941. The next prime is 18701971. The reversal of 18701952 is 25910781.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×18701952² = 699526017220608, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 43177 + ... + 43607.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 2^18701952 is an apocalyptic number.

18701952 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 18701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116480).

18701952 is an abundant number, since it is smaller than the sum of its proper divisors (31531008).

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

18701952 is a wasteful number, since it uses less digits than its factorization.

18701952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 18701952 is about 4324.5753548759. The cubic root of 18701952 is about 265.4375209858.

The spelling of 18701952 in words is "eighteen million, seven hundred one thousand, nine hundred fifty-two".