23146560 has 280 divisors, whose sum is σ = 88513920. Its totient is φ = 5723136.

The previous prime is 23146559. The next prime is 23146577. The reversal of 23146560 is 6564132.

23146560 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 656 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492457 + ... + 492503.

Almost surely, 2^23146560 is an apocalyptic number.

23146560 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 23146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44256960).

23146560 is an abundant number, since it is smaller than the sum of its proper divisors (65367360).

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

23146560 is a wasteful number, since it uses less digits than its factorization.

23146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23146560 is about 4811.0871952190. The cubic root of 23146560 is about 284.9894732954.

The spelling of 23146560 in words is "twenty-three million, one hundred forty-six thousand, five hundred sixty".