83365632 has 144 divisors (see below), whose sum is σ = 281908480. Its totient is φ = 23804928.

The previous prime is 83365627. The next prime is 83365657. The reversal of 83365632 is 23656338.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47523 + ... + 49245.

Almost surely, 2^83365632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140954240).

83365632 is an abundant number, since it is smaller than the sum of its proper divisors (198542848).

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

83365632 is a wasteful number, since it uses less digits than its factorization.

83365632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1735 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 83365632 is about 9130.4781912012. The cubic root of 83365632 is about 436.8466560476.

The spelling of 83365632 in words is "eighty-three million, three hundred sixty-five thousand, six hundred thirty-two".