25743640 has 64 divisors (see below), whose sum is σ = 64431360. Its totient is φ = 9192960.

The previous prime is 25743617. The next prime is 25743643. The reversal of 25743640 is 4634752.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25743643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15322 + ... + 16918.

It is an arithmetic number, because the mean of its divisors is an integer number (1006740).

Almost surely, 2^25743640 is an apocalyptic number.

25743640 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 25743640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32215680).

25743640 is an abundant number, since it is smaller than the sum of its proper divisors (38687720).

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

25743640 is a wasteful number, since it uses less digits than its factorization.

25743640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 25743640 is about 5073.8190744251. The cubic root of 25743640 is about 295.2727153463.

The spelling of 25743640 in words is "twenty-five million, seven hundred forty-three thousand, six hundred forty".