26764960 has 36 divisors (see below), whose sum is σ = 63387198. Its totient is φ = 10679808.

The previous prime is 26764931. The next prime is 26764973. The reversal of 26764960 is 6946762.

It can be written as a sum of positive squares in 3 ways, for example, as 26749584 + 15376 = 5172^2 + 124^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 65236 + ... + 65644.

Almost surely, 2^26764960 is an apocalyptic number.

26764960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26764960 is an abundant number, since it is smaller than the sum of its proper divisors (36622238).

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

26764960 is an frugal number, since it uses more digits than its factorization.

26764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 26764960 is about 5173.4862520355. The cubic root of 26764960 is about 299.1269431855.

Multiplying 26764960 by its sum of digits (40), we get a square (1070598400 = 32720²).

26764960 divided by its sum of digits (40) gives a square (669124 = 818²).

The spelling of 26764960 in words is "twenty-six million, seven hundred sixty-four thousand, nine hundred sixty".