21754560 has 224 divisors, whose sum is σ = 77248512. Its totient is φ = 5160960.

The previous prime is 21754541. The next prime is 21754567. The reversal of 21754560 is 6545712.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21754567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505899 + ... + 505941.

Almost surely, 2^21754560 is an apocalyptic number.

21754560 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 21754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38624256).

21754560 is an abundant number, since it is smaller than the sum of its proper divisors (55493952).

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

21754560 is a wasteful number, since it uses less digits than its factorization.

21754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 21754560 is about 4664.1783842388. The cubic root of 21754560 is about 279.1580148305.

The spelling of 21754560 in words is "twenty-one million, seven hundred fifty-four thousand, five hundred sixty".