25064800 has 144 divisors (see below), whose sum is σ = 68901840. Its totient is φ = 8847360.

The previous prime is 25064797. The next prime is 25064801. The reversal of 25064800 is 846052.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25064801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258352 + ... + 258448.

It is an arithmetic number, because the mean of its divisors is an integer number (478485).

Almost surely, 2^25064800 is an apocalyptic number.

25064800 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 25064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34450920).

25064800 is an abundant number, since it is smaller than the sum of its proper divisors (43837040).

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

25064800 is a wasteful number, since it uses less digits than its factorization.

25064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 25064800 is about 5006.4758063932. The cubic root of 25064800 is about 292.6541909909.

The spelling of 25064800 in words is "twenty-five million, sixty-four thousand, eight hundred".