26670400 has 84 divisors (see below), whose sum is σ = 66771520. Its totient is φ = 10483200.

The previous prime is 26670383. The next prime is 26670407. The reversal of 26670400 is 407662.

It is a super-2 number, since 2×26670400² = 1422620472320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26670407) 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, 126295 + ... + 126505.

Almost surely, 2^26670400 is an apocalyptic number.

26670400 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 26670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33385760).

26670400 is an abundant number, since it is smaller than the sum of its proper divisors (40101120).

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

26670400 is a wasteful number, since it uses less digits than its factorization.

26670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 26670400 is about 5164.3392607380. The cubic root of 26670400 is about 298.7742579347.

The spelling of 26670400 in words is "twenty-six million, six hundred seventy thousand, four hundred".