233688000 has 448 divisors, whose sum is σ = 958583808. Its totient is φ = 48844800.

The previous prime is 233687999. The next prime is 233688017. The reversal of 233688000 is 886332.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×233688000² = 109220162688000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2183947 + ... + 2184053.

It is an arithmetic number, because the mean of its divisors is an integer number (2139696).

Almost surely, 2^233688000 is an apocalyptic number.

233688000 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 233688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479291904).

233688000 is an abundant number, since it is smaller than the sum of its proper divisors (724895808).

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

233688000 is a wasteful number, since it uses less digits than its factorization.

233688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 233688000 is about 15286.8571001367. The cubic root of 233688000 is about 615.9500156215.

The spelling of 233688000 in words is "two hundred thirty-three million, six hundred eighty-eight thousand".