981246960 has 200 divisors, whose sum is σ = 3432615120. Its totient is φ = 259780608.

The previous prime is 981246943. The next prime is 981246967. The reversal of 981246960 is 69642189.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981246967) 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 39 ways as a sum of consecutive naturals, for example, 1055776 + ... + 1056704.

Almost surely, 2^981246960 is an apocalyptic number.

981246960 is a gapful number since it is divisible by the number (90) 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 981246960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716307560).

981246960 is an abundant number, since it is smaller than the sum of its proper divisors (2451368160).

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

981246960 is a wasteful number, since it uses less digits than its factorization.

981246960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 981246960 is about 31324.8616916340. The cubic root of 981246960 is about 993.7094992394.

The spelling of 981246960 in words is "nine hundred eighty-one million, two hundred forty-six thousand, nine hundred sixty".