83648292 has 144 divisors (see below), whose sum is σ = 253112832. Its totient is φ = 21288960.

The previous prime is 83648269. The next prime is 83648321. The reversal of 83648292 is 29284638.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236788 + ... + 237140.

It is an arithmetic number, because the mean of its divisors is an integer number (1757728).

Almost surely, 2^83648292 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 83648292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126556416).

83648292 is an abundant number, since it is smaller than the sum of its proper divisors (169464540).

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

83648292 is a wasteful number, since it uses less digits than its factorization.

83648292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 83648292 is about 9145.9440190721. The cubic root of 83648292 is about 437.3398240308.

The spelling of 83648292 in words is "eighty-three million, six hundred forty-eight thousand, two hundred ninety-two".