981201672 has 96 divisors (see below), whose sum is σ = 2920488480. Its totient is φ = 295130880.

The previous prime is 981201647. The next prime is 981201673. The reversal of 981201672 is 276102189.

It is a super-2 number, since 2×981201672² = 1925513442271191168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (981201673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103983 + ... + 113025.

It is an arithmetic number, because the mean of its divisors is an integer number (30421755).

Almost surely, 2^981201672 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 981201672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460244240).

981201672 is an abundant number, since it is smaller than the sum of its proper divisors (1939286808).

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

981201672 is a wasteful number, since it uses less digits than its factorization.

981201672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 981201672 is about 31324.1388069968. The cubic root of 981201672 is about 993.6942112742.

The spelling of 981201672 in words is "nine hundred eighty-one million, two hundred one thousand, six hundred seventy-two".