22416720 has 160 divisors (see below), whose sum is σ = 75423744. Its totient is φ = 5491200.

The previous prime is 22416701. The next prime is 22416733. The reversal of 22416720 is 2761422.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171055 + ... + 171185.

Almost surely, 2^22416720 is an apocalyptic number.

22416720 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 22416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37711872).

22416720 is an abundant number, since it is smaller than the sum of its proper divisors (53007024).

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

22416720 is a wasteful number, since it uses less digits than its factorization.

22416720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 22416720 is about 4734.6298693773. The cubic root of 22416720 is about 281.9620692406.

The spelling of 22416720 in words is "twenty-two million, four hundred sixteen thousand, seven hundred twenty".