22976640 has 96 divisors (see below), whose sum is σ = 79361100. Its totient is φ = 6125568.

The previous prime is 22976633. The next prime is 22976647. The reversal of 22976640 is 4667922.

It is a happy number.

22976640 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (22976633) and next prime (22976647).

It can be written as a sum of positive squares in 2 ways, for example, as 22810176 + 166464 = 4776^2 + 408^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 22976595 and 22976604.

It is not an unprimeable number, because it can be changed into a prime (22976647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3766 + ... + 7754.

Almost surely, 2^22976640 is an apocalyptic number.

22976640 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 22976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39680550).

22976640 is an abundant number, since it is smaller than the sum of its proper divisors (56384460).

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

22976640 is a wasteful number, since it uses less digits than its factorization.

22976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 22976640 is about 4793.3954562502. The cubic root of 22976640 is about 284.2903860486.

The spelling of 22976640 in words is "twenty-two million, nine hundred seventy-six thousand, six hundred forty".