981257880 has 192 divisors, whose sum is σ = 3111505920. Its totient is φ = 247484160.

The previous prime is 981257861. The next prime is 981257887. The reversal of 981257880 is 88752189.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981257887) 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 47 ways as a sum of consecutive naturals, for example, 7726377 + ... + 7726503.

It is an arithmetic number, because the mean of its divisors is an integer number (16205760).

Almost surely, 2^981257880 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 981257880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555752960).

981257880 is an abundant number, since it is smaller than the sum of its proper divisors (2130248040).

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

981257880 is a wasteful number, since it uses less digits than its factorization.

981257880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The square root of 981257880 is about 31325.0359935946. The cubic root of 981257880 is about 993.7131854563.

The spelling of 981257880 in words is "nine hundred eighty-one million, two hundred fifty-seven thousand, eight hundred eighty".