25792020 has 168 divisors, whose sum is σ = 85385160. Its totient is φ = 6531840.

The previous prime is 25792003. The next prime is 25792033. The reversal of 25792020 is 2029752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 25765776 = 162^2 + 5076^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 422790 + ... + 422850.

It is an arithmetic number, because the mean of its divisors is an integer number (508245).

Almost surely, 2^25792020 is an apocalyptic number.

25792020 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 25792020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42692580).

25792020 is an abundant number, since it is smaller than the sum of its proper divisors (59593140).

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

25792020 is a wasteful number, since it uses less digits than its factorization.

25792020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 25792020 is about 5078.5844484462. The cubic root of 25792020 is about 295.4575681814.

The spelling of 25792020 in words is "twenty-five million, seven hundred ninety-two thousand, twenty".