87416164 has 24 divisors (see below), whose sum is σ = 167122368. Its totient is φ = 39678240.

The previous prime is 87416143. The next prime is 87416177. The reversal of 87416164 is 46161478.

It is a happy number.

It is a super-3 number, since 3×87416164³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59689 + ... + 61135.

It is an arithmetic number, because the mean of its divisors is an integer number (6963432).

Almost surely, 2^87416164 is an apocalyptic number.

It is an amenable number.

87416164 is a deficient number, since it is larger than the sum of its proper divisors (79706204).

87416164 is a wasteful number, since it uses less digits than its factorization.

87416164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2833 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 87416164 is about 9349.6611703313. The cubic root of 87416164 is about 443.8101682879.

It can be divided in two parts, 874161 and 64, that added together give a square (874225 = 935²).

The spelling of 87416164 in words is "eighty-seven million, four hundred sixteen thousand, one hundred sixty-four".