981367680 has 256 divisors, whose sum is σ = 3320663040. Its totient is φ = 246005760.

The previous prime is 981367669. The next prime is 981367697. The reversal of 981367680 is 86763189.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3135204 + ... + 3135516.

It is an arithmetic number, because the mean of its divisors is an integer number (12971340).

Almost surely, 2^981367680 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 981367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660331520).

981367680 is an abundant number, since it is smaller than the sum of its proper divisors (2339295360).

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

981367680 is a wasteful number, since it uses less digits than its factorization.

981367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 981367680 is about 31326.7885363310. The cubic root of 981367680 is about 993.7502486452.

The spelling of 981367680 in words is "nine hundred eighty-one million, three hundred sixty-seven thousand, six hundred eighty".