27924640 has 96 divisors (see below), whose sum is σ = 69809040. Its totient is φ = 10543104.

The previous prime is 27924613. The next prime is 27924667. The reversal of 27924640 is 4642972.

It is an interprime number because it is at equal distance from previous prime (27924613) and next prime (27924667).

It can be written as a sum of positive squares in 8 ways, for example, as 16875664 + 11048976 = 4108^2 + 3324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27924596 and 27924605.

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, 313716 + ... + 313804.

Almost surely, 2^27924640 is an apocalyptic number.

27924640 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 27924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34904520).

27924640 is an abundant number, since it is smaller than the sum of its proper divisors (41884400).

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

27924640 is a wasteful number, since it uses less digits than its factorization.

27924640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 27924640 is about 5284.3769736838. The cubic root of 27924640 is about 303.3862270063.

The spelling of 27924640 in words is "twenty-seven million, nine hundred twenty-four thousand, six hundred forty".