26121264 has 80 divisors (see below), whose sum is σ = 74516064. Its totient is φ = 7833600.

The previous prime is 26121211. The next prime is 26121283. The reversal of 26121264 is 46212162.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25074 + ... + 26094.

Almost surely, 2^26121264 is an apocalyptic number.

26121264 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 26121264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37258032).

26121264 is an abundant number, since it is smaller than the sum of its proper divisors (48394800).

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

26121264 is a wasteful number, since it uses less digits than its factorization.

26121264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 26121264 is about 5110.8965945321. The cubic root of 26121264 is about 296.7094620472.

The spelling of 26121264 in words is "twenty-six million, one hundred twenty-one thousand, two hundred sixty-four".