217098672 has 80 divisors (see below), whose sum is σ = 642554112. Its totient is φ = 61873920.

The previous prime is 217098667. The next prime is 217098703. The reversal of 217098672 is 276890712.

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

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 15 ways as a sum of consecutive naturals, for example, 264022 + ... + 264842.

Almost surely, 2^217098672 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 217098672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321277056).

217098672 is an abundant number, since it is smaller than the sum of its proper divisors (425455440).

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

217098672 is a wasteful number, since it uses less digits than its factorization.

217098672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 217098672 is about 14734.2686279299. The cubic root of 217098672 is about 601.0155689519.

It can be divided in two parts, 21709 and 8672, that added together give a triangular number (30381 = T₂₄₆).

The spelling of 217098672 in words is "two hundred seventeen million, ninety-eight thousand, six hundred seventy-two".