27966240 has 72 divisors (see below), whose sum is σ = 95439708. Its totient is φ = 7457280.

The previous prime is 27966217. The next prime is 27966259. The reversal of 27966240 is 4266972.

It is a happy number.

27966240 is a `hidden beast` number, since 27 + 9 + 6 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 1710864 = 5124^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×27966240² = 1564221159475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27966195 and 27966204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8271 + ... + 11150.

Almost surely, 2^27966240 is an apocalyptic number.

27966240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27966240 is an abundant number, since it is smaller than the sum of its proper divisors (67473468).

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

27966240 is a wasteful number, since it uses less digits than its factorization.

27966240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19442 (or 19431 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 27966240 is about 5288.3116398336. The cubic root of 27966240 is about 303.5368061487.

The spelling of 27966240 in words is "twenty-seven million, nine hundred sixty-six thousand, two hundred forty".