26472264 has 256 divisors, whose sum is σ = 92897280. Its totient is φ = 6082560.

The previous prime is 26472227. The next prime is 26472289. The reversal of 26472264 is 46227462.

It is a super-2 number, since 2×26472264² = 1401561522571392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (32256) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 853929 + ... + 853959.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^26472264 is an apocalyptic number.

26472264 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 26472264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

26472264 is an abundant number, since it is smaller than the sum of its proper divisors (66425016).

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

26472264 is a wasteful number, since it uses less digits than its factorization.

26472264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 26472264 is about 5145.1204067543. The cubic root of 26472264 is about 298.0325475313.

The spelling of 26472264 in words is "twenty-six million, four hundred seventy-two thousand, two hundred sixty-four".