26946864 has 240 divisors, whose sum is σ = 96124800. Its totient is φ = 7185024.

The previous prime is 26946859. The next prime is 26946911. The reversal of 26946864 is 46864962.

It is a super-2 number, since 2×26946864² = 1452266958868992, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 402159 + ... + 402225.

It is an arithmetic number, because the mean of its divisors is an integer number (400520).

Almost surely, 2^26946864 is an apocalyptic number.

26946864 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 26946864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48062400).

26946864 is an abundant number, since it is smaller than the sum of its proper divisors (69177936).

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

26946864 is a wasteful number, since it uses less digits than its factorization.

26946864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 26946864 is about 5191.0368906414. The cubic root of 26946864 is about 299.8030707579.

The spelling of 26946864 in words is "twenty-six million, nine hundred forty-six thousand, eight hundred sixty-four".