981274624 has 104 divisors (see below), whose sum is σ = 2217467520. Its totient is φ = 430080000.

The previous prime is 981274621. The next prime is 981274631. The reversal of 981274624 is 426472189.

It is not an unprimeable number, because it can be changed into a prime (981274621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306249 + ... + 1306999.

Almost surely, 2^981274624 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 981274624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108733760).

981274624 is an abundant number, since it is smaller than the sum of its proper divisors (1236192896).

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

981274624 is a wasteful number, since it uses less digits than its factorization.

981274624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 793 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 981274624 is about 31325.3032547173. The cubic root of 981274624 is about 993.7188376025.

The spelling of 981274624 in words is "nine hundred eighty-one million, two hundred seventy-four thousand, six hundred twenty-four".