25091920 has 120 divisors (see below), whose sum is σ = 70100424. Its totient is φ = 8322048.

The previous prime is 25091879. The next prime is 25091939. The reversal of 25091920 is 2919052.

It can be written as a sum of positive squares in 4 ways, for example, as 12645136 + 12446784 = 3556^2 + 3528^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144954 + ... + 145126.

Almost surely, 2^25091920 is an apocalyptic number.

25091920 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 25091920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35050212).

25091920 is an abundant number, since it is smaller than the sum of its proper divisors (45008504).

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

25091920 is a wasteful number, since it uses less digits than its factorization.

25091920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 25091920 is about 5009.1835662112. The cubic root of 25091920 is about 292.7597031149.

The spelling of 25091920 in words is "twenty-five million, ninety-one thousand, nine hundred twenty".