25642760 has 64 divisors (see below), whose sum is σ = 67798080. Its totient is φ = 8605440.

The previous prime is 25642759. The next prime is 25642781. The reversal of 25642760 is 6724652.

It is a super-2 number, since 2×25642760² = 1315102280835200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3479 + ... + 7961.

It is an arithmetic number, because the mean of its divisors is an integer number (1059345).

Almost surely, 2^25642760 is an apocalyptic number.

25642760 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 25642760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33899040).

25642760 is an abundant number, since it is smaller than the sum of its proper divisors (42155320).

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

25642760 is a wasteful number, since it uses less digits than its factorization.

25642760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 25642760 is about 5063.8680867495. The cubic root of 25642760 is about 294.8865215168.

The spelling of 25642760 in words is "twenty-five million, six hundred forty-two thousand, seven hundred sixty".