83309616 has 120 divisors (see below), whose sum is σ = 253483776. Its totient is φ = 25390080.

The previous prime is 83309599. The next prime is 83309621. The reversal of 83309616 is 61690338.

It is a happy number.

83309616 is a `hidden beast` number, since 8 + 3 + 30 + 9 + 616 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 357436 + ... + 357668.

Almost surely, 2^83309616 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 83309616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741888).

83309616 is an abundant number, since it is smaller than the sum of its proper divisors (170174160).

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

83309616 is a wasteful number, since it uses less digits than its factorization.

83309616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 83309616 is about 9127.4101474624. The cubic root of 83309616 is about 436.7487904382.

The spelling of 83309616 in words is "eighty-three million, three hundred nine thousand, six hundred sixteen".