25083840 has 224 divisors, whose sum is σ = 88879680. Its totient is φ = 5963776.

The previous prime is 25083833. The next prime is 25083847. The reversal of 25083840 is 4838052.

25083840 = 166² + 167² + ... + 430².

It is an interprime number because it is at equal distance from previous prime (25083833) and next prime (25083847).

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 25083798 and 25083807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25083847) 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, 473254 + ... + 473306.

Almost surely, 2^25083840 is an apocalyptic number.

25083840 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 25083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44439840).

25083840 is an abundant number, since it is smaller than the sum of its proper divisors (63795840).

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

25083840 is a wasteful number, since it uses less digits than its factorization.

25083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 25083840 is about 5008.3769826162. The cubic root of 25083840 is about 292.7282753039.

The spelling of 25083840 in words is "twenty-five million, eighty-three thousand, eight hundred forty".