981792240 has 160 divisors (see below), whose sum is σ = 3575771136. Its totient is φ = 219694080.

The previous prime is 981792239. The next prime is 981792241. The reversal of 981792240 is 42297189.

It is an interprime number because it is at equal distance from previous prime (981792239) and next prime (981792241).

It is a junction number, because it is equal to n+sod(n) for n = 981792192 and 981792201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981792241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20017 + ... + 48623.

Almost surely, 2^981792240 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 981792240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787885568).

981792240 is an abundant number, since it is smaller than the sum of its proper divisors (2593978896).

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

981792240 is a wasteful number, since it uses less digits than its factorization.

981792240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28647 (or 28641 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 981792240 is about 31333.5641126253. The cubic root of 981792240 is about 993.8935336364.

The spelling of 981792240 in words is "nine hundred eighty-one million, seven hundred ninety-two thousand, two hundred forty".