83963376 has 120 divisors (see below), whose sum is σ = 277315584. Its totient is φ = 23207040.

The previous prime is 83963371. The next prime is 83963387. The reversal of 83963376 is 67336938.

It is a happy number.

83963376 is a `hidden beast` number, since 8 + 3 + 9 + 633 + 7 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83963371) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29905 + ... + 32591.

Almost surely, 2^83963376 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 83963376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138657792).

83963376 is an abundant number, since it is smaller than the sum of its proper divisors (193352208).

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

83963376 is a wasteful number, since it uses less digits than its factorization.

83963376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2730 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 83963376 is about 9163.1531690789. The cubic root of 83963376 is about 437.8882557247. Note that the first 3 decimals are identical.

The spelling of 83963376 in words is "eighty-three million, nine hundred sixty-three thousand, three hundred seventy-six".