233967620 has 24 divisors (see below), whose sum is σ = 493380888. Its totient is φ = 93196800.

The previous prime is 233967593. The next prime is 233967623. The reversal of 233967620 is 26769332.

It can be written as a sum of positive squares in 4 ways, for example, as 3474496 + 230493124 = 1864^2 + 15182^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (233967623) 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, 19451 + ... + 29090.

It is an arithmetic number, because the mean of its divisors is an integer number (20557537).

Almost surely, 2^233967620 is an apocalyptic number.

233967620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233967620 is an abundant number, since it is smaller than the sum of its proper divisors (259413268).

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

233967620 is a wasteful number, since it uses less digits than its factorization.

233967620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48791 (or 48789 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 38.

The square root of 233967620 is about 15296.0001307531. Note that the first 3 decimals coincide. The cubic root of 233967620 is about 616.1955899116.

The spelling of 233967620 in words is "two hundred thirty-three million, nine hundred sixty-seven thousand, six hundred twenty".