83963464 has 64 divisors (see below), whose sum is σ = 175271040. Its totient is φ = 37470720.

The previous prime is 83963461. The next prime is 83963507. The reversal of 83963464 is 46436938.

It is a self number, because there is not a number n which added to its sum of digits gives 83963464.

It is not an unprimeable number, because it can be changed into a prime (83963461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612804 + ... + 612940.

It is an arithmetic number, because the mean of its divisors is an integer number (2738610).

Almost surely, 2^83963464 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 83963464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87635520).

83963464 is an abundant number, since it is smaller than the sum of its proper divisors (91307576).

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

83963464 is a wasteful number, since it uses less digits than its factorization.

83963464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The square root of 83963464 is about 9163.1579709181. The cubic root of 83963464 is about 437.8884087047. Note that the first 3 decimals are identical.

The spelling of 83963464 in words is "eighty-three million, nine hundred sixty-three thousand, four hundred sixty-four".