26516952 has 96 divisors (see below), whose sum is σ = 89556480. Its totient is φ = 6886080.

The previous prime is 26516911. The next prime is 26516981. The reversal of 26516952 is 25961562.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3153 + ... + 7935.

It is an arithmetic number, because the mean of its divisors is an integer number (932880).

Almost surely, 2^26516952 is an apocalyptic number.

26516952 is a gapful number since it is divisible by the number (22) 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 26516952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44778240).

26516952 is an abundant number, since it is smaller than the sum of its proper divisors (63039528).

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

26516952 is a wasteful number, since it uses less digits than its factorization.

26516952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4806 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 26516952 is about 5149.4613310520. The cubic root of 26516952 is about 298.2001568093.

The spelling of 26516952 in words is "twenty-six million, five hundred sixteen thousand, nine hundred fifty-two".