25267920 has 80 divisors (see below), whose sum is σ = 79042560. Its totient is φ = 6676992.

The previous prime is 25267897. The next prime is 25267927. The reversal of 25267920 is 2976252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×25267920² = 1276935562252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25267927) 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, 30066 + ... + 30894.

It is an arithmetic number, because the mean of its divisors is an integer number (988032).

Almost surely, 2^25267920 is an apocalyptic number.

25267920 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 25267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39521280).

25267920 is an abundant number, since it is smaller than the sum of its proper divisors (53774640).

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

25267920 is a wasteful number, since it uses less digits than its factorization.

25267920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 25267920 is about 5026.7206009485. The cubic root of 25267920 is about 293.4426016243.

The spelling of 25267920 in words is "twenty-five million, two hundred sixty-seven thousand, nine hundred twenty".