18793152 has 168 divisors, whose sum is σ = 63398400. Its totient is φ = 5211648.

The previous prime is 18793133. The next prime is 18793157. The reversal of 18793152 is 25139781.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (18793157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237849 + ... + 237927.

Almost surely, 2^18793152 is an apocalyptic number.

18793152 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 18793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31699200).

18793152 is an abundant number, since it is smaller than the sum of its proper divisors (44605248).

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

18793152 is a wasteful number, since it uses less digits than its factorization.

18793152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

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

The square root of 18793152 is about 4335.1069190967. The cubic root of 18793152 is about 265.8682898927.

It can be divided in two parts, 187 and 93152, that added together give a palindrome (93339).

The spelling of 18793152 in words is "eighteen million, seven hundred ninety-three thousand, one hundred fifty-two".