25792416 has 108 divisors (see below), whose sum is σ = 79952418. Its totient is φ = 7840512.

The previous prime is 25792411. The next prime is 25792427. The reversal of 25792416 is 61429752.

It can be written as a sum of positive squares in only one way, i.e., 24800400 + 992016 = 4980^2 + 996^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25792411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 310711 + ... + 310793.

Almost surely, 2^25792416 is an apocalyptic number.

25792416 is a gapful number since it is divisible by the number (26) 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 25792416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39976209).

25792416 is an abundant number, since it is smaller than the sum of its proper divisors (54160002).

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

25792416 is a wasteful number, since it uses less digits than its factorization.

25792416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 101 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 25792416 is about 5078.6234355384. The cubic root of 25792416 is about 295.4590802847.

The spelling of 25792416 in words is "twenty-five million, seven hundred ninety-two thousand, four hundred sixteen".