981824352 has 96 divisors (see below), whose sum is σ = 2627976960. Its totient is φ = 320893440.

The previous prime is 981824351. The next prime is 981824353. The reversal of 981824352 is 253428189.

It is an interprime number because it is at equal distance from previous prime (981824351) and next prime (981824353).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981824351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1928674 + ... + 1929182.

It is an arithmetic number, because the mean of its divisors is an integer number (27374760).

Almost surely, 2^981824352 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 981824352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313988480).

981824352 is an abundant number, since it is smaller than the sum of its proper divisors (1646152608).

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

981824352 is a wasteful number, since it uses less digits than its factorization.

981824352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 868 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 981824352 is about 31334.0765301931. The cubic root of 981824352 is about 993.9043694528.

The spelling of 981824352 in words is "nine hundred eighty-one million, eight hundred twenty-four thousand, three hundred fifty-two".