87944976 has 120 divisors (see below), whose sum is σ = 287967680. Its totient is φ = 24530688.

The previous prime is 87944971. The next prime is 87944999. The reversal of 87944976 is 67944978.

It is a happy number.

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 (87944971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42330 + ... + 44358.

Almost surely, 2^87944976 is an apocalyptic number.

87944976 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87944976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143983840).

87944976 is an abundant number, since it is smaller than the sum of its proper divisors (200022704).

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

87944976 is a wasteful number, since it uses less digits than its factorization.

87944976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2084 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 87944976 is about 9377.8982720010. The cubic root of 87944976 is about 444.7032925118.

The spelling of 87944976 in words is "eighty-seven million, nine hundred forty-four thousand, nine hundred seventy-six".