83450304 has 112 divisors (see below), whose sum is σ = 280416000. Its totient is φ = 23839488.

The previous prime is 83450287. The next prime is 83450317. The reversal of 83450304 is 40305438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 8647 + ... + 15545.

Almost surely, 2^83450304 is an apocalyptic number.

83450304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140208000).

83450304 is an abundant number, since it is smaller than the sum of its proper divisors (196965696).

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

83450304 is a wasteful number, since it uses less digits than its factorization.

83450304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 83450304 is about 9135.1137923947. The cubic root of 83450304 is about 436.9945034018.

The spelling of 83450304 in words is "eighty-three million, four hundred fifty thousand, three hundred four".