22415760 has 120 divisors (see below), whose sum is σ = 76137984. Its totient is φ = 5909760.

The previous prime is 22415749. The next prime is 22415761. The reversal of 22415760 is 6751422.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (22415761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117265 + ... + 117455.

Almost surely, 2^22415760 is an apocalyptic number.

22415760 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 22415760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38068992).

22415760 is an abundant number, since it is smaller than the sum of its proper divisors (53722224).

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

22415760 is a wasteful number, since it uses less digits than its factorization.

22415760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 22415760 is about 4734.5284876110. The cubic root of 22415760 is about 281.9580441580.

It can be divided in two parts, 2241 and 5760, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 22415760 in words is "twenty-two million, four hundred fifteen thousand, seven hundred sixty".