25233840 has 120 divisors (see below), whose sum is σ = 85829328. Its totient is φ = 6643200.

The previous prime is 25233787. The next prime is 25233841. The reversal of 25233840 is 4833252.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×25233840² = 1273493362291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25233841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72547 + ... + 72893.

Almost surely, 2^25233840 is an apocalyptic number.

25233840 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 25233840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42914664).

25233840 is an abundant number, since it is smaller than the sum of its proper divisors (60595488).

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

25233840 is a wasteful number, since it uses less digits than its factorization.

25233840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 25233840 is about 5023.3295731019. The cubic root of 25233840 is about 293.3106157797.

The spelling of 25233840 in words is "twenty-five million, two hundred thirty-three thousand, eight hundred forty".