26364960 has 192 divisors, whose sum is σ = 97977600. Its totient is φ = 6598656.

The previous prime is 26364941. The next prime is 26364967. The reversal of 26364960 is 6946362.

26364960 is a `hidden beast` number, since 2 + 6 + 3 + 649 + 6 + 0 = 666.

It is a super-2 number, since 2×26364960² = 1390222231603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26364967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73261 + ... + 73619.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^26364960 is an apocalyptic number.

26364960 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 26364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

26364960 is an abundant number, since it is smaller than the sum of its proper divisors (71612640).

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

26364960 is a wasteful number, since it uses less digits than its factorization.

26364960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 26364960 is about 5134.6820738971. The cubic root of 26364960 is about 297.6293155304.

The spelling of 26364960 in words is "twenty-six million, three hundred sixty-four thousand, nine hundred sixty".