25712960 has 112 divisors (see below), whose sum is σ = 75444096. Its totient is φ = 8128512.

The previous prime is 25712957. The next prime is 25712963. The reversal of 25712960 is 6921752.

It is an interprime number because it is at equal distance from previous prime (25712957) and next prime (25712963).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×25712960² = 1322312623923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25712963) 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, 28679 + ... + 29561.

It is an arithmetic number, because the mean of its divisors is an integer number (673608).

Almost surely, 2^25712960 is an apocalyptic number.

25712960 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 25712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37722048).

25712960 is an abundant number, since it is smaller than the sum of its proper divisors (49731136).

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

25712960 is a wasteful number, since it uses less digits than its factorization.

25712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 25712960 is about 5070.7948094949. The cubic root of 25712960 is about 295.1553715678.

The spelling of 25712960 in words is "twenty-five million, seven hundred twelve thousand, nine hundred sixty".