234876640 has 96 divisors (see below), whose sum is σ = 571536000. Its totient is φ = 91181568.

The previous prime is 234876623. The next prime is 234876671. The reversal of 234876640 is 46678432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 234876593 and 234876602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1312071 + ... + 1312249.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2^234876640 is an apocalyptic number.

234876640 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 234876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285768000).

234876640 is an abundant number, since it is smaller than the sum of its proper divisors (336659360).

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

234876640 is a wasteful number, since it uses less digits than its factorization.

234876640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 234876640 is about 15325.6856290347. The cubic root of 234876640 is about 616.9925809065.

The spelling of 234876640 in words is "two hundred thirty-four million, eight hundred seventy-six thousand, six hundred forty".