25769016 has 320 divisors, whose sum is σ = 97574400. Its totient is φ = 6158592.

The previous prime is 25769011. The next prime is 25769021. The reversal of 25769016 is 61096752.

It is an interprime number because it is at equal distance from previous prime (25769011) and next prime (25769021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25769011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1120381 + ... + 1120403.

It is an arithmetic number, because the mean of its divisors is an integer number (304920).

Almost surely, 2^25769016 is an apocalyptic number.

25769016 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 25769016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48787200).

25769016 is an abundant number, since it is smaller than the sum of its proper divisors (71805384).

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

25769016 is a wasteful number, since it uses less digits than its factorization.

25769016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 25769016 is about 5076.3191389037. The cubic root of 25769016 is about 295.3697021467.

25769016 divided by its sum of digits (36) gives a triangular number (715806 = T₁₁₉₆).

The spelling of 25769016 in words is "twenty-five million, seven hundred sixty-nine thousand, sixteen".