22736640 has 144 divisors (see below), whose sum is σ = 75350016. Its totient is φ = 5836800.

The previous prime is 22736639. The next prime is 22736641. The reversal of 22736640 is 4663722.

It is an interprime number because it is at equal distance from previous prime (22736639) and next prime (22736641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22736598 and 22736607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22736641) 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, 118945 + ... + 119135.

It is an arithmetic number, because the mean of its divisors is an integer number (523264).

Almost surely, 2^22736640 is an apocalyptic number.

22736640 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 22736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37675008).

22736640 is an abundant number, since it is smaller than the sum of its proper divisors (52613376).

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

22736640 is a wasteful number, since it uses less digits than its factorization.

22736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 22736640 is about 4768.2952928693. The cubic root of 22736640 is about 283.2970780215.

The spelling of 22736640 in words is "twenty-two million, seven hundred thirty-six thousand, six hundred forty".