25670400 has 216 divisors, whose sum is σ = 97327104. Its totient is φ = 5836800.

The previous prime is 25670399. The next prime is 25670431. The reversal of 25670400 is 407652.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134305 + ... + 134495.

Almost surely, 2^25670400 is an apocalyptic number.

25670400 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 25670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48663552).

25670400 is an abundant number, since it is smaller than the sum of its proper divisors (71656704).

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

25670400 is a wasteful number, since it uses less digits than its factorization.

25670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 25670400 is about 5066.5964907421. The cubic root of 25670400 is about 294.9924349300.

The spelling of 25670400 in words is "twenty-five million, six hundred seventy thousand, four hundred".