981126432 has 240 divisors, whose sum is σ = 3391198272. Its totient is φ = 274337280.

The previous prime is 981126383. The next prime is 981126439. The reversal of 981126432 is 234621189.

981126432 is a `hidden beast` number, since 9 + 8 + 1 + 1 + 2 + 643 + 2 = 666.

981126432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×981126432³ (a number of 28 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (981126439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 369333 + ... + 371979.

Almost surely, 2^981126432 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 981126432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695599136).

981126432 is an abundant number, since it is smaller than the sum of its proper divisors (2410071840).

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

981126432 is a wasteful number, since it uses less digits than its factorization.

981126432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2676 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 981126432 is about 31322.9377932530. The cubic root of 981126432 is about 993.6688113094.

The spelling of 981126432 in words is "nine hundred eighty-one million, one hundred twenty-six thousand, four hundred thirty-two".