83432664 has 48 divisors (see below), whose sum is σ = 258245520. Its totient is φ = 23837760.

The previous prime is 83432647. The next prime is 83432683. The reversal of 83432664 is 46623438.

It is a happy number.

It is a super-2 number, since 2×83432664² = 13922018844273792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82267 + ... + 83274.

It is an arithmetic number, because the mean of its divisors is an integer number (5380115).

Almost surely, 2^83432664 is an apocalyptic number.

83432664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83432664 is an abundant number, since it is smaller than the sum of its proper divisors (174812856).

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

83432664 is a wasteful number, since it uses less digits than its factorization.

83432664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165560 (or 165553 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 83432664 is about 9134.1482361521. The cubic root of 83432664 is about 436.9637101197.

The spelling of 83432664 in words is "eighty-three million, four hundred thirty-two thousand, six hundred sixty-four".