26631864 has 96 divisors (see below), whose sum is σ = 84071520. Its totient is φ = 7458048.

The previous prime is 26631851. The next prime is 26631923. The reversal of 26631864 is 46813662.

It is a super-2 number, since 2×26631864² = 1418512360228992, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26214 + ... + 27210.

It is an arithmetic number, because the mean of its divisors is an integer number (875745).

Almost surely, 2^26631864 is an apocalyptic number.

26631864 is a gapful number since it is divisible by the number (24) 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 26631864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42035760).

26631864 is an abundant number, since it is smaller than the sum of its proper divisors (57439656).

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

26631864 is a wasteful number, since it uses less digits than its factorization.

26631864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1062 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 26631864 is about 5160.6069410487. The cubic root of 26631864 is about 298.6302891582.

It can be divided in two parts, 26631 and 864, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 26631864 in words is "twenty-six million, six hundred thirty-one thousand, eight hundred sixty-four".