83448000 has 336 divisors, whose sum is σ = 319369440. Its totient is φ = 20736000.

The previous prime is 83447999. The next prime is 83448011. The reversal of 83448000 is 84438.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367970 + ... + 1368030.

Almost surely, 2^83448000 is an apocalyptic number.

83448000 is a gapful number since it is divisible by the number (80) 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 83448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159684720).

83448000 is an abundant number, since it is smaller than the sum of its proper divisors (235921440).

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

83448000 is a wasteful number, since it uses less digits than its factorization.

83448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 83448000 is about 9134.9876847208. The cubic root of 83448000 is about 436.9904816684.

The spelling of 83448000 in words is "eighty-three million, four hundred forty-eight thousand".