83288964 has 48 divisors (see below), whose sum is σ = 215018496. Its totient is φ = 24880800.

The previous prime is 83288929. The next prime is 83288969. The reversal of 83288964 is 46988238.

It is a happy number.

It is a super-3 number, since 3×83288964³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83288969) 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, 4929 + ... + 13815.

It is an arithmetic number, because the mean of its divisors is an integer number (4479552).

Almost surely, 2^83288964 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 83288964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107509248).

83288964 is an abundant number, since it is smaller than the sum of its proper divisors (131729532).

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

83288964 is a wasteful number, since it uses less digits than its factorization.

83288964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 8974 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 83288964 is about 9126.2787597136. The cubic root of 83288964 is about 436.7126982403.

The spelling of 83288964 in words is "eighty-three million, two hundred eighty-eight thousand, nine hundred sixty-four".