83348448 has 96 divisors (see below), whose sum is σ = 228235392. Its totient is φ = 26611200.

The previous prime is 83348423. The next prime is 83348453. The reversal of 83348448 is 84484338.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 251643 + ... + 251973.

It is an arithmetic number, because the mean of its divisors is an integer number (2377452).

Almost surely, 2^83348448 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 83348448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117696).

83348448 is an abundant number, since it is smaller than the sum of its proper divisors (144886944).

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

83348448 is a wasteful number, since it uses less digits than its factorization.

83348448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 83348448 is about 9129.5371186057. The cubic root of 83348448 is about 436.8166385268.

The spelling of 83348448 in words is "eighty-three million, three hundred forty-eight thousand, four hundred forty-eight".