26379400 has 48 divisors (see below), whose sum is σ = 62847540. Its totient is φ = 10291200.

The previous prime is 26379383. The next prime is 26379401. The reversal of 26379400 is 497362.

26379400 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 6 ways, for example, as 8282884 + 18096516 = 2878^2 + 4254^2 .

It is not an unprimeable number, because it can be changed into a prime (26379401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6592 + ... + 9808.

Almost surely, 2^26379400 is an apocalyptic number.

26379400 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 26379400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31423770).

26379400 is an abundant number, since it is smaller than the sum of its proper divisors (36468140).

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

26379400 is a wasteful number, since it uses less digits than its factorization.

26379400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 26379400 is about 5136.0880054765. The cubic root of 26379400 is about 297.6836424721.

The spelling of 26379400 in words is "twenty-six million, three hundred seventy-nine thousand, four hundred".