25879140 has 288 divisors, whose sum is σ = 100638720. Its totient is φ = 5246208.

The previous prime is 25879109. The next prime is 25879193. The reversal of 25879140 is 4197852.

25879140 = T₂₂₉ + T₂₃₀ + ... + T₅₅₀.

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

It is a junction number, because it is equal to n+sod(n) for n = 25879095 and 25879104.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 550597 + ... + 550643.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 2^25879140 is an apocalyptic number.

25879140 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 25879140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

25879140 is an abundant number, since it is smaller than the sum of its proper divisors (74759580).

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

25879140 is a wasteful number, since it uses less digits than its factorization.

25879140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 25879140 is about 5087.1544108666. The cubic root of 25879140 is about 295.7898587617.

The spelling of 25879140 in words is "twenty-five million, eight hundred seventy-nine thousand, one hundred forty".