83450016 has 144 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 24814080.

The previous prime is 83450011. The next prime is 83450021. The reversal of 83450016 is 61005438.

It is an interprime number because it is at equal distance from previous prime (83450011) and next prime (83450021).

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

It is not an unprimeable number, because it can be changed into a prime (83450011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115705 + ... + 116423.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^83450016 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 83450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

83450016 is an abundant number, since it is smaller than the sum of its proper divisors (180726624).

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

83450016 is a wasteful number, since it uses less digits than its factorization.

83450016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 83450016 is about 9135.0980290307. The cubic root of 83450016 is about 436.9940006891.

The spelling of 83450016 in words is "eighty-three million, four hundred fifty thousand, sixteen".