82707984 has 60 divisors (see below), whose sum is σ = 235856556. Its totient is φ = 27046656.

The previous prime is 82707979. The next prime is 82708019. The reversal of 82707984 is 48970728.

It can be written as a sum of positive squares in 2 ways, for example, as 38192400 + 44515584 = 6180^2 + 6672^2 .

It is a super-2 number, since 2×82707984² = 13681221234688512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2214 + ... + 13050.

Almost surely, 2^82707984 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 82707984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117928278).

82707984 is an abundant number, since it is smaller than the sum of its proper divisors (153148572).

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

82707984 is a wasteful number, since it uses less digits than its factorization.

82707984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10904 (or 10895 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 82707984 is about 9094.3929978861. The cubic root of 82707984 is about 435.6949020030.

The spelling of 82707984 in words is "eighty-two million, seven hundred seven thousand, nine hundred eighty-four".