22960512 has 96 divisors (see below), whose sum is σ = 69615000. Its totient is φ = 7243776.

The previous prime is 22960507. The next prime is 22960529. The reversal of 22960512 is 21506922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22960512² = 1054370222604288, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 21364 + ... + 22412.

Almost surely, 2^22960512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34807500).

22960512 is an abundant number, since it is smaller than the sum of its proper divisors (46654488).

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

22960512 is a wasteful number, since it uses less digits than its factorization.

22960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 22960512 is about 4791.7128461543. The cubic root of 22960512 is about 284.2238531329.

The spelling of 22960512 in words is "twenty-two million, nine hundred sixty thousand, five hundred twelve".