83376384 has 144 divisors (see below), whose sum is σ = 273340032. Its totient is φ = 21970944.

The previous prime is 83376379. The next prime is 83376407. The reversal of 83376384 is 48367338.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 69292 + ... + 70484.

Almost surely, 2^83376384 is an apocalyptic number.

83376384 is a gapful number since it is divisible by the number (84) 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 83376384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136670016).

83376384 is an abundant number, since it is smaller than the sum of its proper divisors (189963648).

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

83376384 is a wasteful number, since it uses less digits than its factorization.

83376384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1218 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 83376384 is about 9131.0669694182. The cubic root of 83376384 is about 436.8654358622.

It can be divided in two parts, 8 and 3376384, that multiplied together give a palindrome (27011072).

The spelling of 83376384 in words is "eighty-three million, three hundred seventy-six thousand, three hundred eighty-four".