27674640 has 360 divisors, whose sum is σ = 118772160. Its totient is φ = 5640192.

The previous prime is 27674617. The next prime is 27674641. The reversal of 27674640 is 4647672.

27674640 = T₁₂₄₀ + T₁₂₄₁ + ... + T₁₂₇₄.

27674640 is a `hidden beast` number, since 2 + 7 + 6 + 7 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 27674595 and 27674604.

It is not an unprimeable number, because it can be changed into a prime (27674641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1456551 + ... + 1456569.

Almost surely, 2^27674640 is an apocalyptic number.

27674640 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 27674640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59386080).

27674640 is an abundant number, since it is smaller than the sum of its proper divisors (91097520).

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

27674640 is a wasteful number, since it uses less digits than its factorization.

27674640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 27674640 is about 5260.6691589569. The cubic root of 27674640 is about 302.4781397130.

The spelling of 27674640 in words is "twenty-seven million, six hundred seventy-four thousand, six hundred forty".