981199872 has 176 divisors, whose sum is σ = 3034145280. Its totient is φ = 312643584.

The previous prime is 981199847. The next prime is 981199883. The reversal of 981199872 is 278991189.

981199872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635133 + ... + 636675.

Almost surely, 2^981199872 is an apocalyptic number.

981199872 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981199872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517072640).

981199872 is an abundant number, since it is smaller than the sum of its proper divisors (2052945408).

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

981199872 is a wasteful number, since it uses less digits than its factorization.

981199872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1571 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The square root of 981199872 is about 31324.1100751482. The cubic root of 981199872 is about 993.6936036347.

The spelling of 981199872 in words is "nine hundred eighty-one million, one hundred ninety-nine thousand, eight hundred seventy-two".