981234720 has 144 divisors (see below), whose sum is σ = 3464075160. Its totient is φ = 252628992.

The previous prime is 981234707. The next prime is 981234733. The reversal of 981234720 is 27432189.

It is an interprime number because it is at equal distance from previous prime (981234707) and next prime (981234733).

It can be written as a sum of positive squares in 4 ways, for example, as 897841296 + 83393424 = 29964^2 + 9132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30012 + ... + 53508.

Almost surely, 2^981234720 is an apocalyptic number.

981234720 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 981234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732037580).

981234720 is an abundant number, since it is smaller than the sum of its proper divisors (2482840440).

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

981234720 is a wasteful number, since it uses less digits than its factorization.

981234720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23547 (or 23536 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 981234720 is about 31324.6663190528. Note that the first 3 decimals coincide. The cubic root of 981234720 is about 993.7053674033.

The spelling of 981234720 in words is "nine hundred eighty-one million, two hundred thirty-four thousand, seven hundred twenty".