90064170 has 64 divisors (see below), whose sum is σ = 274487040. Its totient is φ = 20585664.

The previous prime is 90064151. The next prime is 90064201. The reversal of 90064170 is 7146009.

It is a super-4 number, since 4×90064170⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21937 + ... + 25716.

It is an arithmetic number, because the mean of its divisors is an integer number (4288860).

Almost surely, 2^90064170 is an apocalyptic number.

90064170 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90064170 is an abundant number, since it is smaller than the sum of its proper divisors (184422870).

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

90064170 is a wasteful number, since it uses less digits than its factorization.

90064170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47676 (or 47670 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 90064170 is about 9490.2144338260. The cubic root of 90064170 is about 448.2469574051.

The spelling of 90064170 in words is "ninety million, sixty-four thousand, one hundred seventy".