22735680 has 112 divisors (see below), whose sum is σ = 78784704. Its totient is φ = 5509120.

The previous prime is 22735663. The next prime is 22735693. The reversal of 22735680 is 8653722.

It is a super-2 number, since 2×22735680² = 1033822290124800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9484 + ... + 11636.

Almost surely, 2^22735680 is an apocalyptic number.

22735680 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 22735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39392352).

22735680 is an abundant number, since it is smaller than the sum of its proper divisors (56049024).

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

22735680 is a wasteful number, since it uses less digits than its factorization.

22735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 22735680 is about 4768.1946269002. The cubic root of 22735680 is about 283.2930907859.

The spelling of 22735680 in words is "twenty-two million, seven hundred thirty-five thousand, six hundred eighty".