18958968 has 64 divisors (see below), whose sum is σ = 60192000. Its totient is φ = 5416416.

The previous prime is 18958963. The next prime is 18958981. The reversal of 18958968 is 86985981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18958963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4758 + ... + 7781.

It is an arithmetic number, because the mean of its divisors is an integer number (940500).

Almost surely, 2^18958968 is an apocalyptic number.

18958968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18958968 is an abundant number, since it is smaller than the sum of its proper divisors (41233032).

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

18958968 is a wasteful number, since it uses less digits than its factorization.

18958968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12561 (or 12551 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The square root of 18958968 is about 4354.1897064781. The cubic root of 18958968 is about 266.6479389626.

The spelling of 18958968 in words is "eighteen million, nine hundred fifty-eight thousand, nine hundred sixty-eight".