83232640 has 32 divisors (see below), whose sum is σ = 198979560. Its totient is φ = 33292800.

The previous prime is 83232637. The next prime is 83232641. The reversal of 83232640 is 4623238.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×83232640² = 13855344722739200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83232599 and 83232608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83232641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64386 + ... + 65665.

Almost surely, 2^83232640 is an apocalyptic number.

83232640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83232640 is an abundant number, since it is smaller than the sum of its proper divisors (115746920).

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

83232640 is a wasteful number, since it uses less digits than its factorization.

83232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130070 (or 130058 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 83232640 is about 9123.1924237078. The cubic root of 83232640 is about 436.6142340038.

Adding to 83232640 its reverse (4623238), we get a palindrome (87855878).

The spelling of 83232640 in words is "eighty-three million, two hundred thirty-two thousand, six hundred forty".