27722640 has 80 divisors (see below), whose sum is σ = 93761856. Its totient is φ = 6720000.

The previous prime is 27722633. The next prime is 27722663. The reversal of 27722640 is 4622772.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27722598 and 27722607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2611 + ... + 7890.

Almost surely, 2^27722640 is an apocalyptic number.

27722640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27722640 is an abundant number, since it is smaller than the sum of its proper divisors (66039216).

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

27722640 is a wasteful number, since it uses less digits than its factorization.

27722640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10528 (or 10522 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 27722640 is about 5265.2293397344. The cubic root of 27722640 is about 302.6529154247.

The spelling of 27722640 in words is "twenty-seven million, seven hundred twenty-two thousand, six hundred forty".