25380864 has 168 divisors, whose sum is σ = 80565030. Its totient is φ = 7962624.

The previous prime is 25380863. The next prime is 25380899. The reversal of 25380864 is 46808352.

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 6718464 = 4320^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25380863) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492984 + ... + 1493000.

Almost surely, 2^25380864 is an apocalyptic number.

25380864 is a gapful number since it is divisible by the number (24) 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 25380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40282515).

25380864 is an abundant number, since it is smaller than the sum of its proper divisors (55184166).

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

25380864 is an frugal number, since it uses more digits than its factorization.

25380864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 25380864 is about 5037.9424371463. The cubic root of 25380864 is about 293.8791673380.

It can be divided in two parts, 25380 and 864, that added together give a square (26244 = 162²).

The spelling of 25380864 in words is "twenty-five million, three hundred eighty thousand, eight hundred sixty-four".