25345980 has 192 divisors, whose sum is σ = 91445760. Its totient is φ = 5760000.

The previous prime is 25345967. The next prime is 25345993. The reversal of 25345980 is 8954352.

It is an interprime number because it is at equal distance from previous prime (25345967) and next prime (25345993).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 63 ways as a sum of consecutive naturals, for example, 100855 + ... + 101105.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^25345980 is an apocalyptic number.

25345980 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 25345980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

25345980 is an abundant number, since it is smaller than the sum of its proper divisors (66099780).

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

25345980 is a wasteful number, since it uses less digits than its factorization.

25345980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 25345980 is about 5034.4791190351. The cubic root of 25345980 is about 293.7444676791.

The spelling of 25345980 in words is "twenty-five million, three hundred forty-five thousand, nine hundred eighty".