83210048 has 56 divisors (see below), whose sum is σ = 172821600. Its totient is φ = 39699968.

The previous prime is 83210041. The next prime is 83210051. The reversal of 83210048 is 84001238.

It is a junction number, because it is equal to n+sod(n) for n = 83209999 and 83210026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83210041) 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, 198383 + ... + 198801.

It is an arithmetic number, because the mean of its divisors is an integer number (3086100).

Almost surely, 2^83210048 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 83210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86410800).

83210048 is an abundant number, since it is smaller than the sum of its proper divisors (89611552).

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

83210048 is a wasteful number, since it uses less digits than its factorization.

83210048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 83210048 is about 9121.9541766005. The cubic root of 83210048 is about 436.5747267409.

The spelling of 83210048 in words is "eighty-three million, two hundred ten thousand, forty-eight".