25263840 has 192 divisors, whose sum is σ = 93090816. Its totient is φ = 5640192.

The previous prime is 25263817. The next prime is 25263841. The reversal of 25263840 is 4836252.

It is a super-2 number, since 2×25263840² = 1276523223091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25263798 and 25263807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25263841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245229 + ... + 245331.

It is an arithmetic number, because the mean of its divisors is an integer number (484848).

Almost surely, 2^25263840 is an apocalyptic number.

25263840 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 25263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46545408).

25263840 is an abundant number, since it is smaller than the sum of its proper divisors (67826976).

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

25263840 is a wasteful number, since it uses less digits than its factorization.

25263840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 25263840 is about 5026.3147533755. The cubic root of 25263840 is about 293.4268067579.

The spelling of 25263840 in words is "twenty-five million, two hundred sixty-three thousand, eight hundred forty".