25764500 has 36 divisors (see below), whose sum is σ = 56518644. Its totient is φ = 10260400.

The previous prime is 25764493. The next prime is 25764527. The reversal of 25764500 is 546752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 824464 + 24940036 = 908^2 + 4994^2 .

It is a super-3 number, since 3×25764500³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113387 + ... + 113613.

Almost surely, 2^25764500 is an apocalyptic number.

25764500 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 25764500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28259322).

25764500 is an abundant number, since it is smaller than the sum of its proper divisors (30754144).

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

25764500 is an equidigital number, since it uses as much as digits as its factorization.

25764500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 25764500 is about 5075.8743089245. The cubic root of 25764500 is about 295.3524467019.

The spelling of 25764500 in words is "twenty-five million, seven hundred sixty-four thousand, five hundred".