233648920 has 16 divisors (see below), whose sum is σ = 525710160. Its totient is φ = 93459552.

The previous prime is 233648917. The next prime is 233648923. The reversal of 233648920 is 29846332.

It is an interprime number because it is at equal distance from previous prime (233648917) and next prime (233648923).

It is a self number, because there is not a number n which added to its sum of digits gives 233648920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233648923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2920572 + ... + 2920651.

It is an arithmetic number, because the mean of its divisors is an integer number (32856885).

Almost surely, 2^233648920 is an apocalyptic number.

233648920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233648920 is an abundant number, since it is smaller than the sum of its proper divisors (292061240).

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

233648920 is a wasteful number, since it uses less digits than its factorization.

233648920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841234 (or 5841230 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 233648920 is about 15285.5788244999. The cubic root of 233648920 is about 615.9156782877.

The spelling of 233648920 in words is "two hundred thirty-three million, six hundred forty-eight thousand, nine hundred twenty".