25084560 has 80 divisors (see below), whose sum is σ = 81869760. Its totient is φ = 6336000.

The previous prime is 25084489. The next prime is 25084567. The reversal of 25084560 is 6548052.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (25084567) 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, 1810 + ... + 7310.

It is an arithmetic number, because the mean of its divisors is an integer number (1023372).

Almost surely, 2^25084560 is an apocalyptic number.

25084560 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 25084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40934880).

25084560 is an abundant number, since it is smaller than the sum of its proper divisors (56785200).

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

25084560 is a wasteful number, since it uses less digits than its factorization.

25084560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 25084560 is about 5008.4488616736. The cubic root of 25084560 is about 292.7310760758.

The spelling of 25084560 in words is "twenty-five million, eighty-four thousand, five hundred sixty".