23162880 has 208 divisors, whose sum is σ = 82565280. Its totient is φ = 5505024.

The previous prime is 23162861. The next prime is 23162899. The reversal of 23162880 is 8826132.

It is an interprime number because it is at equal distance from previous prime (23162861) and next prime (23162899).

It is a tau number, because it is divible by the number of its divisors (208).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 798706 + ... + 798734.

Almost surely, 2^23162880 is an apocalyptic number.

23162880 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 23162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41282640).

23162880 is an abundant number, since it is smaller than the sum of its proper divisors (59402400).

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

23162880 is a wasteful number, since it uses less digits than its factorization.

23162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 23162880 is about 4812.7829786933. The cubic root of 23162880 is about 285.0564369613.

It can be divided in two parts, 23162 and 880, that added together give a palindrome (24042).

The spelling of 23162880 in words is "twenty-three million, one hundred sixty-two thousand, eight hundred eighty".