998615040 has 96 divisors (see below), whose sum is σ = 3194886240. Its totient is φ = 266289152.

The previous prime is 998615027. The next prime is 998615047. The reversal of 998615040 is 40516899.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×998615040² = 1994463996228403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 998614983 and 998615001.

It is not an unprimeable number, because it can be changed into a prime (998615047) 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, 14467 + ... + 46973.

It is an arithmetic number, because the mean of its divisors is an integer number (33280065).

Almost surely, 2^998615040 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 998615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597443120).

998615040 is an abundant number, since it is smaller than the sum of its proper divisors (2196271200).

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

998615040 is a wasteful number, since it uses less digits than its factorization.

998615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32537 (or 32517 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 998615040 is about 31600.8708740756. The cubic root of 998615040 is about 999.5381333787.

The spelling of 998615040 in words is "nine hundred ninety-eight million, six hundred fifteen thousand, forty".