21674880 has 192 divisors, whose sum is σ = 77332320. Its totient is φ = 5591040.

The previous prime is 21674857. The next prime is 21674899. The reversal of 21674880 is 8847612.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 305245 + ... + 305315.

Almost surely, 2^21674880 is an apocalyptic number.

21674880 is a gapful number since it is divisible by the number (20) 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 21674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38666160).

21674880 is an abundant number, since it is smaller than the sum of its proper divisors (55657440).

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

21674880 is a wasteful number, since it uses less digits than its factorization.

21674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 21674880 is about 4655.6288511865. The cubic root of 21674880 is about 278.8167756799.

The spelling of 21674880 in words is "twenty-one million, six hundred seventy-four thousand, eight hundred eighty".