22693680 has 120 divisors (see below), whose sum is σ = 78091728. Its totient is φ = 5902848.

The previous prime is 22693673. The next prime is 22693687. The reversal of 22693680 is 8639622.

It is an interprime number because it is at equal distance from previous prime (22693673) and next prime (22693687).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×22693680² = 1030006223884800, 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 (22693687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30594 + ... + 31326.

Almost surely, 2^22693680 is an apocalyptic number.

22693680 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 22693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39045864).

22693680 is an abundant number, since it is smaller than the sum of its proper divisors (55398048).

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

22693680 is a wasteful number, since it uses less digits than its factorization.

22693680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 22693680 is about 4763.7884083993. The cubic root of 22693680 is about 283.1185392441.

The spelling of 22693680 in words is "twenty-two million, six hundred ninety-three thousand, six hundred eighty".