83488640 has 64 divisors (see below), whose sum is σ = 202437360. Its totient is φ = 32919552.

The previous prime is 83488627. The next prime is 83488661. The reversal of 83488640 is 4688438.

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

It is a congruent number.

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, 45827 + ... + 47613.

Almost surely, 2^83488640 is an apocalyptic number.

83488640 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 83488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101218680).

83488640 is an abundant number, since it is smaller than the sum of its proper divisors (118948720).

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

83488640 is a wasteful number, since it uses less digits than its factorization.

83488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 83488640 is about 9137.2118285613. The cubic root of 83488640 is about 437.0614097153.

The spelling of 83488640 in words is "eighty-three million, four hundred eighty-eight thousand, six hundred forty".