87817416 has 32 divisors (see below), whose sum is σ = 219780000. Its totient is φ = 29240960.

The previous prime is 87817357. The next prime is 87817417. The reversal of 87817416 is 61471878.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87817417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34756 + ... + 37196.

It is an arithmetic number, because the mean of its divisors is an integer number (6868125).

Almost surely, 2^87817416 is an apocalyptic number.

It is an amenable number.

87817416 is an abundant number, since it is smaller than the sum of its proper divisors (131962584).

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

87817416 is a wasteful number, since it uses less digits than its factorization.

87817416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3945 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 87817416 is about 9371.0947065964. The cubic root of 87817416 is about 444.4881814921.

The spelling of 87817416 in words is "eighty-seven million, eight hundred seventeen thousand, four hundred sixteen".