980413632 has 252 divisors, whose sum is σ = 3209425128. Its totient is φ = 296524800.

The previous prime is 980413627. The next prime is 980413633. The reversal of 980413632 is 236314089.

980413632 is a `hidden beast` number, since 9 + 8 + 0 + 4 + 13 + 632 = 666.

It is a super-2 number, since 2×980413632² = 1922421779622862848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (980413633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881532 + ... + 1882052.

It is an arithmetic number, because the mean of its divisors is an integer number (12735814).

Almost surely, 2^980413632 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 980413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604712564).

980413632 is an abundant number, since it is smaller than the sum of its proper divisors (2229011496).

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

980413632 is a wasteful number, since it uses less digits than its factorization.

980413632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 980413632 is about 31311.5574828209. The cubic root of 980413632 is about 993.4281156148.

It can be divided in two parts, 9804 and 13632, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 980413632 in words is "nine hundred eighty million, four hundred thirteen thousand, six hundred thirty-two".