21767120 has 40 divisors (see below), whose sum is σ = 50863560. Its totient is φ = 8663040.

The previous prime is 21767099. The next prime is 21767147. The reversal of 21767120 is 2176712.

It can be written as a sum of positive squares in 4 ways, for example, as 937024 + 20830096 = 968^2 + 4564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 21767120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18716 + ... + 19844.

It is an arithmetic number, because the mean of its divisors is an integer number (1271589).

Almost surely, 2^21767120 is an apocalyptic number.

21767120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21767120 is an abundant number, since it is smaller than the sum of its proper divisors (29096440).

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

21767120 is a wasteful number, since it uses less digits than its factorization.

21767120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 21767120 is about 4665.5246221620. The cubic root of 21767120 is about 279.2117284751.

The spelling of 21767120 in words is "twenty-one million, seven hundred sixty-seven thousand, one hundred twenty".