83922048 has 128 divisors (see below), whose sum is σ = 283152000. Its totient is φ = 23970816.

The previous prime is 83922037. The next prime is 83922061. The reversal of 83922048 is 84022938.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 22458 + ... + 25926.

It is an arithmetic number, because the mean of its divisors is an integer number (2212125).

Almost surely, 2^83922048 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 83922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141576000).

83922048 is an abundant number, since it is smaller than the sum of its proper divisors (199229952).

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

83922048 is a wasteful number, since it uses less digits than its factorization.

83922048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83922048 is about 9160.8977725985. The cubic root of 83922048 is about 437.8163989354.

It can be divided in two parts, 8392 and 2048, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 83922048 in words is "eighty-three million, nine hundred twenty-two thousand, forty-eight".