18976880 has 80 divisors (see below), whose sum is σ = 48371904. Its totient is φ = 6881280.

The previous prime is 18976873. The next prime is 18976883. The reversal of 18976880 is 8867981.

18976880 = T₁₃₃ + T₁₃₄ + ... + T₄₈₇.

18976880 = 508² + 509² + ... + 572².

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18976883) 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, 73712 + ... + 73968.

Almost surely, 2^18976880 is an apocalyptic number.

18976880 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 18976880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24185952).

18976880 is an abundant number, since it is smaller than the sum of its proper divisors (29395024).

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

18976880 is a wasteful number, since it uses less digits than its factorization.

18976880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 47.

The square root of 18976880 is about 4356.2460903856. The cubic root of 18976880 is about 266.7318868252.

The spelling of 18976880 in words is "eighteen million, nine hundred seventy-six thousand, eight hundred eighty".