978986736 has 240 divisors, whose sum is σ = 3498220544. Its totient is φ = 258100992.

The previous prime is 978986731. The next prime is 978986747. The reversal of 978986736 is 637689879.

It is a happy number.

978986736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978986731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352425 + ... + 355191.

Almost surely, 2^978986736 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 978986736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749110272).

978986736 is an abundant number, since it is smaller than the sum of its proper divisors (2519233808).

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

978986736 is a wasteful number, since it uses less digits than its factorization.

978986736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2792 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 978986736 is about 31288.7637339669. The cubic root of 978986736 is about 992.9459358486.

The spelling of 978986736 in words is "nine hundred seventy-eight million, nine hundred eighty-six thousand, seven hundred thirty-six".