987716160 has 112 divisors (see below), whose sum is σ = 3484473600. Its totient is φ = 263388672.

The previous prime is 987716153. The next prime is 987716179. The reversal of 987716160 is 61617789.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 48520 + ... + 65799.

Almost surely, 2^987716160 is an apocalyptic number.

987716160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

987716160 is an abundant number, since it is smaller than the sum of its proper divisors (2496757440).

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

987716160 is a wasteful number, since it uses less digits than its factorization.

987716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114345 (or 114329 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 987716160 is about 31427.9518899975. The cubic root of 987716160 is about 995.8885054466. Note that the first 3 decimals are identical.

The spelling of 987716160 in words is "nine hundred eighty-seven million, seven hundred sixteen thousand, one hundred sixty".