83010048 has 160 divisors (see below), whose sum is σ = 256322880. Its totient is φ = 23674880.

The previous prime is 83010047. The next prime is 83010061. The reversal of 83010048 is 84001038.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83010047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4882936 + ... + 4882952.

It is an arithmetic number, because the mean of its divisors is an integer number (1602018).

Almost surely, 2^83010048 is an apocalyptic number.

83010048 is a gapful number since it is divisible by the number (88) 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 83010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128161440).

83010048 is an abundant number, since it is smaller than the sum of its proper divisors (173312832).

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

83010048 is an equidigital number, since it uses as much as digits as its factorization.

83010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 83010048 is about 9110.9850180977. The cubic root of 83010048 is about 436.2246688794.

It can be divided in two parts, 830 and 10048, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 83010048 in words is "eighty-three million, ten thousand, forty-eight".