83735480 has 32 divisors (see below), whose sum is σ = 188749440. Its totient is φ = 33432960.

The previous prime is 83735447. The next prime is 83735503. The reversal of 83735480 is 8453738.

It is a happy number.

It is a super-2 number, since 2×83735480² = 14023261221660800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24857 + ... + 28023.

It is an arithmetic number, because the mean of its divisors is an integer number (5898420).

Almost surely, 2^83735480 is an apocalyptic number.

It is an amenable number.

83735480 is an abundant number, since it is smaller than the sum of its proper divisors (105013960).

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

83735480 is a wasteful number, since it uses less digits than its factorization.

83735480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 83735480 is about 9150.7092621283. The cubic root of 83735480 is about 437.4917201154.

The spelling of 83735480 in words is "eighty-three million, seven hundred thirty-five thousand, four hundred eighty".