22972464 has 80 divisors (see below), whose sum is σ = 67599840. Its totient is φ = 7464960.

The previous prime is 22972451. The next prime is 22972487. The reversal of 22972464 is 46427922.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17064 + ... + 18360.

It is an arithmetic number, because the mean of its divisors is an integer number (844998).

Almost surely, 2^22972464 is an apocalyptic number.

22972464 is a gapful number since it is divisible by the number (24) 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 22972464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33799920).

22972464 is an abundant number, since it is smaller than the sum of its proper divisors (44627376).

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

22972464 is a wasteful number, since it uses less digits than its factorization.

22972464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1343 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 22972464 is about 4792.9598370944. The cubic root of 22972464 is about 284.2731617637.

It can be divided in two parts, 22972 and 464, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 22972464 in words is "twenty-two million, nine hundred seventy-two thousand, four hundred sixty-four".