26461764 has 72 divisors (see below), whose sum is σ = 78041600. Its totient is φ = 7556976.

The previous prime is 26461763. The next prime is 26461777. The reversal of 26461764 is 46716462.

26461764 is a `hidden beast` number, since 2 + 646 + 1 + 7 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26461763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11277 + ... + 13419.

Almost surely, 2^26461764 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 26461764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39020800).

26461764 is an abundant number, since it is smaller than the sum of its proper divisors (51579836).

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

26461764 is a wasteful number, since it uses less digits than its factorization.

26461764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2155 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 26461764 is about 5144.0999212690. The cubic root of 26461764 is about 297.9931382892.

It can be divided in two parts, 26461 and 764, that added together give a square (27225 = 165²).

The spelling of 26461764 in words is "twenty-six million, four hundred sixty-one thousand, seven hundred sixty-four".