83632464 has 60 divisors (see below), whose sum is σ = 237916692. Its totient is φ = 27417600.

The previous prime is 83632457. The next prime is 83632477. The reversal of 83632464 is 46423638.

It is a happy number.

83632464 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 16064064 + 67568400 = 4008^2 + 8220^2 .

It is a super-2 number, since 2×83632464² = 13988778069422592, 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4024 + ... + 13544.

Almost surely, 2^83632464 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 83632464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118958346).

83632464 is an abundant number, since it is smaller than the sum of its proper divisors (154284228).

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

83632464 is a wasteful number, since it uses less digits than its factorization.

83632464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9596 (or 9587 counting only the distinct ones).

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

The square root of 83632464 is about 9145.0786765342. The cubic root of 83632464 is about 437.3122376879.

The spelling of 83632464 in words is "eighty-three million, six hundred thirty-two thousand, four hundred sixty-four".