998102742 has 128 divisors (see below), whose sum is σ = 2617380864. Its totient is φ = 246233088.

The previous prime is 998102723. The next prime is 998102761. The reversal of 998102742 is 247201899.

It is an interprime number because it is at equal distance from previous prime (998102723) and next prime (998102761).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 998102694 and 998102703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2719443 + ... + 2719809.

It is an arithmetic number, because the mean of its divisors is an integer number (20448288).

Almost surely, 2^998102742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998102742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308690432).

998102742 is an abundant number, since it is smaller than the sum of its proper divisors (1619278122).

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

998102742 is a wasteful number, since it uses less digits than its factorization.

With its successor (998102743) it forms an eRAP, since the sums of their prime factors are consecutive (702 and 703).

998102742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 998102742 is about 31592.7640766046. The cubic root of 998102742 is about 999.3671802904.

It can be divided in two parts, 998 and 102742, that added together give a triangular number (103740 = T₄₅₅).

The spelling of 998102742 in words is "nine hundred ninety-eight million, one hundred two thousand, seven hundred forty-two".