22676160 has 224 divisors, whose sum is σ = 81930240. Its totient is φ = 5271552.

The previous prime is 22676131. The next prime is 22676167. The reversal of 22676160 is 6167622.

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

It is not an unprimeable number, because it can be changed into a prime (22676167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287001 + ... + 287079.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 2^22676160 is an apocalyptic number.

22676160 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 22676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

22676160 is an abundant number, since it is smaller than the sum of its proper divisors (59254080).

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

22676160 is a wasteful number, since it uses less digits than its factorization.

22676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 22676160 is about 4761.9491807452. The cubic root of 22676160 is about 283.0456626573.

The spelling of 22676160 in words is "twenty-two million, six hundred seventy-six thousand, one hundred sixty".