321861672 has 192 divisors, whose sum is σ = 1018180800. Its totient is φ = 90823680.

The previous prime is 321861641. The next prime is 321861703. The reversal of 321861672 is 276168123.

321861672 is a `hidden beast` number, since 32 + 1 + 8 + 616 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (321861641) and next prime (321861703).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1098358 + ... + 1098650.

It is an arithmetic number, because the mean of its divisors is an integer number (5303025).

Almost surely, 2^321861672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321861672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509090400).

321861672 is an abundant number, since it is smaller than the sum of its proper divisors (696319128).

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

321861672 is a wasteful number, since it uses less digits than its factorization.

321861672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 321861672 is about 17940.5036718594. The cubic root of 321861672 is about 685.3142373401.

The spelling of 321861672 in words is "three hundred twenty-one million, eight hundred sixty-one thousand, six hundred seventy-two".