83458848 has 96 divisors (see below), whose sum is σ = 253108800. Its totient is φ = 23797760.

The previous prime is 83458807. The next prime is 83458861. The reversal of 83458848 is 84885438.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 83458797 and 83458806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15628 + ... + 20276.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 2^83458848 is an apocalyptic number.

83458848 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 83458848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126554400).

83458848 is an abundant number, since it is smaller than the sum of its proper divisors (169649952).

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

83458848 is a wasteful number, since it uses less digits than its factorization.

83458848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 4682 counting only the distinct ones).

The product of its digits is 983040, while the sum is 48.

The square root of 83458848 is about 9135.5814264884. The cubic root of 83458848 is about 437.0094166832.

The spelling of 83458848 in words is "eighty-three million, four hundred fifty-eight thousand, eight hundred forty-eight".