27742464 has 54 divisors (see below), whose sum is σ = 79995006. Its totient is φ = 9246720.

The previous prime is 27742447. The next prime is 27742471. The reversal of 27742464 is 46424772.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 24920064 + 2822400 = 4992^2 + 1680^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3717 + ... + 8324.

It is an arithmetic number, because the mean of its divisors is an integer number (1481389).

Almost surely, 2^27742464 is an apocalyptic number.

27742464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27742464 is an abundant number, since it is smaller than the sum of its proper divisors (52252542).

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

27742464 is a wasteful number, since it uses less digits than its factorization.

27742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12063 (or 12046 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 27742464 is about 5267.1115423921. Note that the first 3 decimals coincide. The cubic root of 27742464 is about 302.7250389291.

The spelling of 27742464 in words is "twenty-seven million, seven hundred forty-two thousand, four hundred sixty-four".