83296640 has 64 divisors (see below), whose sum is σ = 227590560. Its totient is φ = 28557312.

The previous prime is 83296637. The next prime is 83296649. The reversal of 83296640 is 4669238.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 83296594 and 83296603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83296649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4817 + ... + 13776.

Almost surely, 2^83296640 is an apocalyptic number.

83296640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83296640 is an abundant number, since it is smaller than the sum of its proper divisors (144293920).

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

83296640 is a wasteful number, since it uses less digits than its factorization.

83296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18619 (or 18607 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 83296640 is about 9126.6992938302. The cubic root of 83296640 is about 436.7261137980.

The spelling of 83296640 in words is "eighty-three million, two hundred ninety-six thousand, six hundred forty".