22820640 has 48 divisors (see below), whose sum is σ = 71886528. Its totient is φ = 6085376.

The previous prime is 22820599. The next prime is 22820657. The reversal of 22820640 is 4602822.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22820640² = 1041563220019200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22820640.

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 7 ways as a sum of consecutive naturals, for example, 23292 + ... + 24251.

It is an arithmetic number, because the mean of its divisors is an integer number (1497636).

Almost surely, 2^22820640 is an apocalyptic number.

22820640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22820640 is an abundant number, since it is smaller than the sum of its proper divisors (49065888).

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

22820640 is a wasteful number, since it uses less digits than its factorization.

22820640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47561 (or 47553 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22820640 is about 4777.0953517802. The cubic root of 22820640 is about 283.6455274668.

The spelling of 22820640 in words is "twenty-two million, eight hundred twenty thousand, six hundred forty".