25937280 has 256 divisors, whose sum is σ = 97920000. Its totient is φ = 6469632.

The previous prime is 25937273. The next prime is 25937293. The reversal of 25937280 is 8273952.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328281 + ... + 328359.

It is an arithmetic number, because the mean of its divisors is an integer number (382500).

Almost surely, 2^25937280 is an apocalyptic number.

25937280 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 25937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48960000).

25937280 is an abundant number, since it is smaller than the sum of its proper divisors (71982720).

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

25937280 is a wasteful number, since it uses less digits than its factorization.

25937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 25937280 is about 5092.8655980695. The cubic root of 25937280 is about 296.0111999658.

The spelling of 25937280 in words is "twenty-five million, nine hundred thirty-seven thousand, two hundred eighty".