233615640 has 128 divisors (see below), whose sum is σ = 747648000. Its totient is φ = 58226688.

The previous prime is 233615609. The next prime is 233615647. The reversal of 233615640 is 46516332.

233615640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 233615598 and 233615607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233615647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179472 + ... + 180768.

It is an arithmetic number, because the mean of its divisors is an integer number (5841000).

Almost surely, 2^233615640 is an apocalyptic number.

233615640 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 233615640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373824000).

233615640 is an abundant number, since it is smaller than the sum of its proper divisors (514032360).

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

233615640 is a wasteful number, since it uses less digits than its factorization.

233615640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 233615640 is about 15284.4901779549. The cubic root of 233615640 is about 615.8864340595.

The spelling of 233615640 in words is "two hundred thirty-three million, six hundred fifteen thousand, six hundred forty".