84861672 has 32 divisors (see below), whose sum is σ = 242462400. Its totient is φ = 24246144.

The previous prime is 84861659. The next prime is 84861703. The reversal of 84861672 is 27616848.

It is a super-3 number, since 3×84861672³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 252397 + ... + 252732.

It is an arithmetic number, because the mean of its divisors is an integer number (7576950).

Almost surely, 2^84861672 is an apocalyptic number.

It is an amenable number.

84861672 is an abundant number, since it is smaller than the sum of its proper divisors (157600728).

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

84861672 is a wasteful number, since it uses less digits than its factorization.

84861672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505145 (or 505141 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 84861672 is about 9212.0395135931. The cubic root of 84861672 is about 439.4443260857. Note that the first 3 decimals are identical.

The spelling of 84861672 in words is "eighty-four million, eight hundred sixty-one thousand, six hundred seventy-two".