25164832 has 72 divisors (see below), whose sum is σ = 62914320. Its totient is φ = 9797760.

The previous prime is 25164827. The next prime is 25164833. The reversal of 25164832 is 23846152.

It is a junction number, because it is equal to n+sod(n) for n = 25164794 and 25164803.

It is not an unprimeable number, because it can be changed into a prime (25164833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16519 + ... + 17977.

It is an arithmetic number, because the mean of its divisors is an integer number (873810).

Almost surely, 2^25164832 is an apocalyptic number.

25164832 is a gapful number since it is divisible by the number (22) 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 25164832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31457160).

25164832 is an abundant number, since it is smaller than the sum of its proper divisors (37749488).

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

25164832 is a wasteful number, since it uses less digits than its factorization.

25164832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1479 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 25164832 is about 5016.4561196127. The cubic root of 25164832 is about 293.0429955503.

The spelling of 25164832 in words is "twenty-five million, one hundred sixty-four thousand, eight hundred thirty-two".