83579616 has 144 divisors (see below), whose sum is σ = 258161904. Its totient is φ = 25546752.

The previous prime is 83579611. The next prime is 83579623. The reversal of 83579616 is 61697538.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83579611) 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, 210330 + ... + 210726.

It is an arithmetic number, because the mean of its divisors is an integer number (1792791).

Almost surely, 2^83579616 is an apocalyptic number.

83579616 is a gapful number since it is divisible by the number (86) 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 83579616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129080952).

83579616 is an abundant number, since it is smaller than the sum of its proper divisors (174582288).

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

83579616 is a wasteful number, since it uses less digits than its factorization.

83579616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 83579616 is about 9142.1887970004. The cubic root of 83579616 is about 437.2201046183.

The spelling of 83579616 in words is "eighty-three million, five hundred seventy-nine thousand, six hundred sixteen".