83192640 has 112 divisors (see below), whose sum is σ = 278099520. Its totient is φ = 21012480.

The previous prime is 83192639. The next prime is 83192647. The reversal of 83192640 is 4629138.

It is a Cunningham number, because it is equal to 9121²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83192647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15960 + ... + 20520.

Almost surely, 2^83192640 is an apocalyptic number.

83192640 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 83192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139049760).

83192640 is an abundant number, since it is smaller than the sum of its proper divisors (194906880).

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

83192640 is a wasteful number, since it uses less digits than its factorization.

83192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 83192640 is about 9120.9999451814. Note that the first 4 decimals coincide. The cubic root of 83192640 is about 436.5442800057.

The spelling of 83192640 in words is "eighty-three million, one hundred ninety-two thousand, six hundred forty".