87834768 has 80 divisors (see below), whose sum is σ = 262947456. Its totient is φ = 24744960.

The previous prime is 87834757. The next prime is 87834793. The reversal of 87834768 is 86743878.

It is a super-2 number, since 2×87834768² = 15429892939227648, which contains 22 as substring.

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 87834768.

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, 22738 + ... + 26318.

Almost surely, 2^87834768 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 87834768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131473728).

87834768 is an abundant number, since it is smaller than the sum of its proper divisors (175112688).

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

87834768 is a wasteful number, since it uses less digits than its factorization.

87834768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3666 counting only the distinct ones).

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

The square root of 87834768 is about 9372.0204865333. The cubic root of 87834768 is about 444.5174553018.

The spelling of 87834768 in words is "eighty-seven million, eight hundred thirty-four thousand, seven hundred sixty-eight".