83192240 has 40 divisors (see below), whose sum is σ = 194572368. Its totient is φ = 33079040.

The previous prime is 83192233. The next prime is 83192257. The reversal of 83192240 is 4229138.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10835 + ... + 16845.

Almost surely, 2^83192240 is an apocalyptic number.

83192240 is a gapful number since it is divisible by the number (80) 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 83192240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97286184).

83192240 is an abundant number, since it is smaller than the sum of its proper divisors (111380128).

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

83192240 is a wasteful number, since it uses less digits than its factorization.

83192240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6197 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 83192240 is about 9120.9780177347. The cubic root of 83192240 is about 436.5435803525.

The spelling of 83192240 in words is "eighty-three million, one hundred ninety-two thousand, two hundred forty".