25090080 has 96 divisors (see below), whose sum is σ = 79761024. Its totient is φ = 6629376.

The previous prime is 25090069. The next prime is 25090097. The reversal of 25090080 is 8009052.

It is a Cunningham number, because it is equal to 5009²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25090080² = 1259024228812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 25090080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80004 + ... + 80316.

It is an arithmetic number, because the mean of its divisors is an integer number (830844).

Almost surely, 2^25090080 is an apocalyptic number.

25090080 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 25090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39880512).

25090080 is an abundant number, since it is smaller than the sum of its proper divisors (54670944).

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

25090080 is a wasteful number, since it uses less digits than its factorization.

25090080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 25090080 is about 5008.9999001797. Note that the first 4 decimals coincide. The cubic root of 25090080 is about 292.7525468800.

The spelling of 25090080 in words is "twenty-five million, ninety thousand, eighty".