22654720 has 72 divisors (see below), whose sum is σ = 59235120. Its totient is φ = 8232960.

The previous prime is 22654717. The next prime is 22654759. The reversal of 22654720 is 2745622.

22654720 = T₈₈₀ + T₈₈₁ + ... + T₉₃₄.

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 7 ways as a sum of consecutive naturals, for example, 13276 + ... + 14884.

It is an arithmetic number, because the mean of its divisors is an integer number (822710).

Almost surely, 2^22654720 is an apocalyptic number.

22654720 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 22654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29617560).

22654720 is an abundant number, since it is smaller than the sum of its proper divisors (36580400).

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

22654720 is a wasteful number, since it uses less digits than its factorization.

22654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 22654720 is about 4759.6974693776. The cubic root of 22654720 is about 282.9564292572.

It can be divided in two parts, 226 and 54720, that added together give a triangular number (54946 = T₃₃₁).

The spelling of 22654720 in words is "twenty-two million, six hundred fifty-four thousand, seven hundred twenty".