26982672 has 80 divisors (see below), whose sum is σ = 75620160. Its totient is φ = 8257536.

The previous prime is 26982667. The next prime is 26982677. The reversal of 26982672 is 27628962.

It is an interprime number because it is at equal distance from previous prime (26982667) and next prime (26982677).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (26982677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34704 + ... + 35472.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 2^26982672 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 26982672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810080).

26982672 is an abundant number, since it is smaller than the sum of its proper divisors (48637488).

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

26982672 is a wasteful number, since it uses less digits than its factorization.

26982672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 834 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 26982672 is about 5194.4847675203. The cubic root of 26982672 is about 299.9358084880.

The spelling of 26982672 in words is "twenty-six million, nine hundred eighty-two thousand, six hundred seventy-two".