26960640 has 288 divisors, whose sum is σ = 105960960. Its totient is φ = 5701632.

The previous prime is 26960627. The next prime is 26960651. The reversal of 26960640 is 4606962.

It is a super-2 number, since 2×26960640² = 1453752218419200, which contains 22 as substring.

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, 456931 + ... + 456989.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 2^26960640 is an apocalyptic number.

26960640 is a gapful number since it is divisible by the number (20) 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 26960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52980480).

26960640 is an abundant number, since it is smaller than the sum of its proper divisors (79000320).

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

26960640 is a wasteful number, since it uses less digits than its factorization.

26960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 26960640 is about 5192.3636236304. The cubic root of 26960640 is about 299.8541513276.

The spelling of 26960640 in words is "twenty-six million, nine hundred sixty thousand, six hundred forty".