83099648 has 38 divisors (see below), whose sum is σ = 166723266. Its totient is φ = 41418752.

The previous prime is 83099641. The next prime is 83099651. The reversal of 83099648 is 84699038.

It can be written as a sum of positive squares in only one way, i.e., 51380224 + 31719424 = 7168^2 + 5632^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83099641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261986 + ... + 262302.

Almost surely, 2^83099648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83361633).

83099648 is an abundant number, since it is smaller than the sum of its proper divisors (83623618).

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

83099648 is an frugal number, since it uses more digits than its factorization.

83099648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 83099648 is about 9115.9008331596. The cubic root of 83099648 is about 436.3815642466.

The spelling of 83099648 in words is "eighty-three million, ninety-nine thousand, six hundred forty-eight".