26823972 has 84 divisors (see below), whose sum is σ = 76863920. Its totient is φ = 7260624.

The previous prime is 26823971. The next prime is 26823983. The reversal of 26823972 is 27932862.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 26823972.

It is not an unprimeable number, because it can be changed into a prime (26823971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1411779 + ... + 1411797.

Almost surely, 2^26823972 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 26823972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38431960).

26823972 is an abundant number, since it is smaller than the sum of its proper divisors (50039948).

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

26823972 is an frugal number, since it uses more digits than its factorization.

26823972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 26823972 is about 5179.1864225957. The cubic root of 26823972 is about 299.3466224702.

The spelling of 26823972 in words is "twenty-six million, eight hundred twenty-three thousand, nine hundred seventy-two".