232653540 has 96 divisors (see below), whose sum is σ = 747048960. Its totient is φ = 52995456.

The previous prime is 232653497. The next prime is 232653541. The reversal of 232653540 is 45356232.

232653540 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 = 232653498 and 232653507.

It is not an unprimeable number, because it can be changed into a prime (232653541) 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, 150009 + ... + 151551.

It is an arithmetic number, because the mean of its divisors is an integer number (7781760).

Almost surely, 2^232653540 is an apocalyptic number.

232653540 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 232653540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373524480).

232653540 is an abundant number, since it is smaller than the sum of its proper divisors (514395420).

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

232653540 is a wasteful number, since it uses less digits than its factorization.

232653540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 232653540 is about 15252.9846259675. The cubic root of 232653540 is about 615.0398017733.

The spelling of 232653540 in words is "two hundred thirty-two million, six hundred fifty-three thousand, five hundred forty".