22987800 has 288 divisors, whose sum is σ = 89369280. Its totient is φ = 5443200.

The previous prime is 22987799. The next prime is 22987801. The reversal of 22987800 is 878922.

It is an interprime number because it is at equal distance from previous prime (22987799) and next prime (22987801).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22987801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534579 + ... + 534621.

It is an arithmetic number, because the mean of its divisors is an integer number (310310).

Almost surely, 2^22987800 is an apocalyptic number.

22987800 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 22987800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

22987800 is an abundant number, since it is smaller than the sum of its proper divisors (66381480).

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

22987800 is a wasteful number, since it uses less digits than its factorization.

22987800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 22987800 is about 4794.5594166722. The cubic root of 22987800 is about 284.3364062265.

The spelling of 22987800 in words is "twenty-two million, nine hundred eighty-seven thousand, eight hundred".