25977952 has 96 divisors (see below), whose sum is σ = 68753664. Its totient is φ = 9331200.

The previous prime is 25977949. The next prime is 25977953.

25977952 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25977952² = 1349707980228608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25977953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31627 + ... + 32437.

It is an arithmetic number, because the mean of its divisors is an integer number (716184).

Almost surely, 2^25977952 is an apocalyptic number.

25977952 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 25977952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34376832).

25977952 is an abundant number, since it is smaller than the sum of its proper divisors (42775712).

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

25977952 is a wasteful number, since it uses less digits than its factorization.

25977952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its digits is 396900, while the sum is 46.

The square root of 25977952 is about 5096.8570707839. The cubic root of 25977952 is about 296.1658432702.

The spelling of 25977952 in words is "twenty-five million, nine hundred seventy-seven thousand, nine hundred fifty-two".