8287687464 has 64 divisors (see below), whose sum is σ = 23713223040. Its totient is φ = 2364499200.

The previous prime is 8287687423. The next prime is 8287687477. The reversal of 8287687464 is 4647867828.

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

It is a junction number, because it is equal to n+sod(n) for n = 8287687398 and 8287687407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82582 + ... + 152954.

It is an arithmetic number, because the mean of its divisors is an integer number (370519110).

Almost surely, 2^8287687464 is an apocalyptic number.

8287687464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8287687464 is an abundant number, since it is smaller than the sum of its proper divisors (15425535576).

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

8287687464 is a wasteful number, since it uses less digits than its factorization.

8287687464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71090 (or 71086 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 60.

The square root of 8287687464 is about 91036.7368923118. The cubic root of 8287687464 is about 2023.6921872246.

The spelling of 8287687464 in words is "eight billion, two hundred eighty-seven million, six hundred eighty-seven thousand, four hundred sixty-four".