26971164 has 96 divisors (see below), whose sum is σ = 77575680. Its totient is φ = 8035200.

The previous prime is 26971159. The next prime is 26971193. The reversal of 26971164 is 46117962.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86569 + ... + 86879.

It is an arithmetic number, because the mean of its divisors is an integer number (808080).

Almost surely, 2^26971164 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 26971164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38787840).

26971164 is an abundant number, since it is smaller than the sum of its proper divisors (50604516).

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

26971164 is a wasteful number, since it uses less digits than its factorization.

26971164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 26971164 is about 5193.3769360600. The cubic root of 26971164 is about 299.8931619566.

It can be divided in two parts, 26971 and 164, that multiplied together give a palindrome (4423244).

The spelling of 26971164 in words is "twenty-six million, nine hundred seventy-one thousand, one hundred sixty-four".