22980672 has 280 divisors, whose sum is σ = 82612992. Its totient is φ = 6220800.

The previous prime is 22980649. The next prime is 22980679. The reversal of 22980672 is 27608922.

It is a super-2 number, since 2×22980672² = 1056222571143168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22980679) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 741297 + ... + 741327.

Almost surely, 2^22980672 is an apocalyptic number.

22980672 is a gapful number since it is divisible by the number (22) 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 22980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41306496).

22980672 is an abundant number, since it is smaller than the sum of its proper divisors (59632320).

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

22980672 is a wasteful number, since it uses less digits than its factorization.

22980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 22980672 is about 4793.8160164946. The cubic root of 22980672 is about 284.3070144125.

The spelling of 22980672 in words is "twenty-two million, nine hundred eighty thousand, six hundred seventy-two".