21517920 has 192 divisors, whose sum is σ = 80015040. Its totient is φ = 5382144.

The previous prime is 21517919. The next prime is 21517957. The reversal of 21517920 is 2971512.

It is a super-2 number, since 2×21517920² = 926041762252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73294 + ... + 73586.

It is an arithmetic number, because the mean of its divisors is an integer number (416745).

Almost surely, 2^21517920 is an apocalyptic number.

21517920 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 21517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40007520).

21517920 is an abundant number, since it is smaller than the sum of its proper divisors (58497120).

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

21517920 is a wasteful number, since it uses less digits than its factorization.

21517920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 21517920 is about 4638.7412085608. The cubic root of 21517920 is about 278.1421214894.

The spelling of 21517920 in words is "twenty-one million, five hundred seventeen thousand, nine hundred twenty".