25779936 has 144 divisors (see below), whose sum is σ = 84115584. Its totient is φ = 6769152.

The previous prime is 25779931. The next prime is 25779937. The reversal of 25779936 is 63997752.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (714420) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25779931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113455 + ... + 113681.

It is an arithmetic number, because the mean of its divisors is an integer number (584136).

Almost surely, 2^25779936 is an apocalyptic number.

25779936 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 25779936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42057792).

25779936 is an abundant number, since it is smaller than the sum of its proper divisors (58335648).

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

25779936 is a wasteful number, since it uses less digits than its factorization.

25779936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its digits is 714420, while the sum is 48.

The square root of 25779936 is about 5077.3946074734. The cubic root of 25779936 is about 295.4114186749.

The spelling of 25779936 in words is "twenty-five million, seven hundred seventy-nine thousand, nine hundred thirty-six".