22953640 has 64 divisors (see below), whose sum is σ = 54120960. Its totient is φ = 8751360.

The previous prime is 22953607. The next prime is 22953643. The reversal of 22953640 is 4635922.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (22953643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132594 + ... + 132766.

It is an arithmetic number, because the mean of its divisors is an integer number (845640).

Almost surely, 2^22953640 is an apocalyptic number.

22953640 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 22953640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27060480).

22953640 is an abundant number, since it is smaller than the sum of its proper divisors (31167320).

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

22953640 is a wasteful number, since it uses less digits than its factorization.

22953640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 22953640 is about 4790.9957211419. The cubic root of 22953640 is about 284.1954945724.

The spelling of 22953640 in words is "twenty-two million, nine hundred fifty-three thousand, six hundred forty".