25742880 has 192 divisors, whose sum is σ = 92534400. Its totient is φ = 6681600.

The previous prime is 25742867. The next prime is 25742881. The reversal of 25742880 is 8824752.

It is a happy number.

25742880 is a `hidden beast` number, since 2 + 574 + 2 + 8 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25742881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254830 + ... + 254930.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 2^25742880 is an apocalyptic number.

25742880 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 25742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267200).

25742880 is an abundant number, since it is smaller than the sum of its proper divisors (66791520).

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

25742880 is a wasteful number, since it uses less digits than its factorization.

25742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 25742880 is about 5073.7441795975. The cubic root of 25742880 is about 295.2698096516.

The spelling of 25742880 in words is "twenty-five million, seven hundred forty-two thousand, eight hundred eighty".