83487768 has 192 divisors, whose sum is σ = 269660160. Its totient is φ = 21337344.

The previous prime is 83487757. The next prime is 83487821. The reversal of 83487768 is 86778438.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83487768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657321 + ... + 657447.

It is an arithmetic number, because the mean of its divisors is an integer number (1404480).

Almost surely, 2^83487768 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 83487768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134830080).

83487768 is an abundant number, since it is smaller than the sum of its proper divisors (186172392).

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

83487768 is a wasteful number, since it uses less digits than its factorization.

83487768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

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

The square root of 83487768 is about 9137.1641114735. The cubic root of 83487768 is about 437.0598880757.

It can be divided in two parts, 83487 and 768, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 83487768 in words is "eighty-three million, four hundred eighty-seven thousand, seven hundred sixty-eight".