981205872 has 80 divisors (see below), whose sum is σ = 2590548480. Its totient is φ = 319929856.

The previous prime is 981205853. The next prime is 981205877. The reversal of 981205872 is 278502189.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981205877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659113 + ... + 660599.

It is an arithmetic number, because the mean of its divisors is an integer number (32381856).

Almost surely, 2^981205872 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 981205872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295274240).

981205872 is an abundant number, since it is smaller than the sum of its proper divisors (1609342608).

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

981205872 is a wasteful number, since it uses less digits than its factorization.

981205872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 981205872 is about 31324.2058478743. The cubic root of 981205872 is about 993.6956290968.

The spelling of 981205872 in words is "nine hundred eighty-one million, two hundred five thousand, eight hundred seventy-two".