26963664 has 80 divisors (see below), whose sum is σ = 85744512. Its totient is φ = 7110144.

The previous prime is 26963663. The next prime is 26963693. The reversal of 26963664 is 46636962.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26963663) 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, 1282 + ... + 7454.

Almost surely, 2^26963664 is an apocalyptic number.

26963664 is a gapful number since it is divisible by the number (24) 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 26963664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42872256).

26963664 is an abundant number, since it is smaller than the sum of its proper divisors (58780848).

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

26963664 is a wasteful number, since it uses less digits than its factorization.

26963664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6198 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 26963664 is about 5192.6548123287. The cubic root of 26963664 is about 299.8653618065.

The spelling of 26963664 in words is "twenty-six million, nine hundred sixty-three thousand, six hundred sixty-four".