83249680 has 80 divisors (see below), whose sum is σ = 210080304. Its totient is φ = 30556160.

The previous prime is 83249669. The next prime is 83249681. The reversal of 83249680 is 8694238.

It can be written as a sum of positive squares in 8 ways, for example, as 2304 + 83247376 = 48^2 + 9124^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (83249681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55014 + ... + 56506.

Almost surely, 2^83249680 is an apocalyptic number.

83249680 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 83249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105040152).

83249680 is an abundant number, since it is smaller than the sum of its proper divisors (126830624).

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

83249680 is a wasteful number, since it uses less digits than its factorization.

83249680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 83249680 is about 9124.1262595385. The cubic root of 83249680 is about 436.6440275995.

The spelling of 83249680 in words is "eighty-three million, two hundred forty-nine thousand, six hundred eighty".