233646640 has 40 divisors (see below), whose sum is σ = 575186400. Its totient is φ = 87960576.

The previous prime is 233646583. The next prime is 233646641. The reversal of 233646640 is 46646332.

233646640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 233646596 and 233646605.

It is not an unprimeable number, because it can be changed into a prime (233646641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84540 + ... + 87259.

It is an arithmetic number, because the mean of its divisors is an integer number (14379660).

Almost surely, 2^233646640 is an apocalyptic number.

233646640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233646640 is an abundant number, since it is smaller than the sum of its proper divisors (341539760).

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

233646640 is a wasteful number, since it uses less digits than its factorization.

233646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171829 (or 171823 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 233646640 is about 15285.5042442178. The cubic root of 233646640 is about 615.9136748655.

The spelling of 233646640 in words is "two hundred thirty-three million, six hundred forty-six thousand, six hundred forty".