21477120 has 288 divisors, whose sum is σ = 84768768. Its totient is φ = 4521984.

The previous prime is 21477109. The next prime is 21477133. The reversal of 21477120 is 2177412.

It is a super-2 number, since 2×21477120² = 922533366988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 456937 + ... + 456983.

It is an arithmetic number, because the mean of its divisors is an integer number (294336).

Almost surely, 2^21477120 is an apocalyptic number.

21477120 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 21477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42384384).

21477120 is an abundant number, since it is smaller than the sum of its proper divisors (63291648).

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

21477120 is a wasteful number, since it uses less digits than its factorization.

21477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 21477120 is about 4634.3413771538. The cubic root of 21477120 is about 277.9662157244.

The spelling of 21477120 in words is "twenty-one million, four hundred seventy-seven thousand, one hundred twenty".