998960040 has 320 divisors, whose sum is σ = 3719414160. Its totient is φ = 238878720.

The previous prime is 998960033. The next prime is 998960101. The reversal of 998960040 is 40069899.

It can be written as a sum of positive squares in 8 ways, for example, as 689692644 + 309267396 = 26262^2 + 17586^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1558120 + ... + 1558760.

Almost surely, 2^998960040 is an apocalyptic number.

998960040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998960040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859707080).

998960040 is an abundant number, since it is smaller than the sum of its proper divisors (2720454120).

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

998960040 is a wasteful number, since it uses less digits than its factorization.

998960040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 998960040 is about 31606.3291130115. The cubic root of 998960040 is about 999.6532264287.

The spelling of 998960040 in words is "nine hundred ninety-eight million, nine hundred sixty thousand, forty".