83079096 has 96 divisors (see below), whose sum is σ = 225308160. Its totient is φ = 25510464.

The previous prime is 83079089. The next prime is 83079103. The reversal of 83079096 is 69097038.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83079089) and next prime (83079103).

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 23 ways as a sum of consecutive naturals, for example, 372441 + ... + 372663.

It is an arithmetic number, because the mean of its divisors is an integer number (2346960).

Almost surely, 2^83079096 is an apocalyptic number.

83079096 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 83079096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654080).

83079096 is an abundant number, since it is smaller than the sum of its proper divisors (142229064).

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

83079096 is a wasteful number, since it uses less digits than its factorization.

83079096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 83079096 is about 9114.7735023971. The cubic root of 83079096 is about 436.3455863430.

The spelling of 83079096 in words is "eighty-three million, seventy-nine thousand, ninety-six".