83488776 has 64 divisors (see below), whose sum is σ = 242611200. Its totient is φ = 23446848.

The previous prime is 83488771. The next prime is 83488799. The reversal of 83488776 is 67788438.

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

It is not an unprimeable number, because it can be changed into a prime (83488771) 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, 5701 + ... + 14123.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2^83488776 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 83488776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121305600).

83488776 is an abundant number, since it is smaller than the sum of its proper divisors (159122424).

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

83488776 is a wasteful number, since it uses less digits than its factorization.

83488776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8498 (or 8494 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 83488776 is about 9137.2192706534. The cubic root of 83488776 is about 437.0616470343.

The spelling of 83488776 in words is "eighty-three million, four hundred eighty-eight thousand, seven hundred seventy-six".