22958880 has 96 divisors (see below), whose sum is σ = 82664064. Its totient is φ = 5246976.

The previous prime is 22958869. The next prime is 22958917. The reversal of 22958880 is 8885922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22958880² = 1054220341708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57 + ... + 6776.

It is an arithmetic number, because the mean of its divisors is an integer number (861084).

Almost surely, 2^22958880 is an apocalyptic number.

22958880 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 22958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41332032).

22958880 is an abundant number, since it is smaller than the sum of its proper divisors (59705184).

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

22958880 is a wasteful number, since it uses less digits than its factorization.

22958880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 22958880 is about 4791.5425491171. The cubic root of 22958880 is about 284.2171188999.

It can be divided in two parts, 2295 and 8880, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 22958880 in words is "twenty-two million, nine hundred fifty-eight thousand, eight hundred eighty".