26802972 has 144 divisors (see below), whose sum is σ = 82747392. Its totient is φ = 7153920.

The previous prime is 26802961. The next prime is 26802983. The reversal of 26802972 is 27920862.

It is an interprime number because it is at equal distance from previous prime (26802961) and next prime (26802983).

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 47 ways as a sum of consecutive naturals, for example, 367128 + ... + 367200.

Almost surely, 2^26802972 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 26802972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41373696).

26802972 is an abundant number, since it is smaller than the sum of its proper divisors (55944420).

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

26802972 is a wasteful number, since it uses less digits than its factorization.

26802972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 26802972 is about 5177.1586802029. The cubic root of 26802972 is about 299.2684843996.

The spelling of 26802972 in words is "twenty-six million, eight hundred two thousand, nine hundred seventy-two".