26632164 has 48 divisors (see below), whose sum is σ = 67800320. Its totient is φ = 8087040.

The previous prime is 26632153. The next prime is 26632181. The reversal of 26632164 is 46123662.

It is a nude number because it is divisible by every one of its digits.

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, 11244 + ... + 13404.

Almost surely, 2^26632164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26632164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33900160).

26632164 is an abundant number, since it is smaller than the sum of its proper divisors (41168156).

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

26632164 is a wasteful number, since it uses less digits than its factorization.

26632164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2258 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 26632164 is about 5160.6360073154. The cubic root of 26632164 is about 298.6314104810.

It can be divided in two parts, 26632 and 164, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 26632164 in words is "twenty-six million, six hundred thirty-two thousand, one hundred sixty-four".