18957960 has 96 divisors (see below), whose sum is σ = 70424640. Its totient is φ = 4332672.

The previous prime is 18957943. The next prime is 18957973. The reversal of 18957960 is 6975981.

18957960 = T₂₁₉ + T₂₂₀ + ... + T₄₉₈.

18957960 is a `hidden beast` number, since 18 + 9 + 579 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242 + ... + 6281.

It is an arithmetic number, because the mean of its divisors is an integer number (733590).

Almost surely, 2^18957960 is an apocalyptic number.

18957960 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 18957960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35212320).

18957960 is an abundant number, since it is smaller than the sum of its proper divisors (51466680).

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

18957960 is a wasteful number, since it uses less digits than its factorization.

18957960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7547 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 18957960 is about 4354.0739543559. The cubic root of 18957960 is about 266.6432132151.

The spelling of 18957960 in words is "eighteen million, nine hundred fifty-seven thousand, nine hundred sixty".