21795480 has 240 divisors, whose sum is σ = 86510160. Its totient is φ = 4821120.

The previous prime is 21795469. The next prime is 21795481. The reversal of 21795480 is 8459712.

21795480 is a `hidden beast` number, since 2 + 179 + 5 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21795481) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 703065 + ... + 703095.

It is an arithmetic number, because the mean of its divisors is an integer number (360459).

Almost surely, 2^21795480 is an apocalyptic number.

21795480 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 21795480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43255080).

21795480 is an abundant number, since it is smaller than the sum of its proper divisors (64714680).

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

21795480 is a wasteful number, since it uses less digits than its factorization.

21795480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 21795480 is about 4668.5629480601. The cubic root of 21795480 is about 279.3329358767.

The spelling of 21795480 in words is "twenty-one million, seven hundred ninety-five thousand, four hundred eighty".