25713600 has 168 divisors, whose sum is σ = 92220288. Its totient is φ = 6220800.

The previous prime is 25713599. The next prime is 25713629. The reversal of 25713600 is 631752.

It is a super-2 number, since 2×25713600² = 1322378449920000, which contains 22 as substring.

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

It is a congruent number.

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, 52557 + ... + 53043.

Almost surely, 2^25713600 is an apocalyptic number.

25713600 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 25713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46110144).

25713600 is an abundant number, since it is smaller than the sum of its proper divisors (66506688).

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

25713600 is a wasteful number, since it uses less digits than its factorization.

25713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 25713600 is about 5070.8579155800. The cubic root of 25713600 is about 295.1578203701.

The spelling of 25713600 in words is "twenty-five million, seven hundred thirteen thousand, six hundred".