1284198192 has 160 divisors (see below), whose sum is σ = 3868085760. Its totient is φ = 407151360.

The previous prime is 1284198191. The next prime is 1284198193. The reversal of 1284198192 is 2918914821.

It is an interprime number because it is at equal distance from previous prime (1284198191) and next prime (1284198193).

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

Its product of digits (82944) is a multiple of the sum of its prime factors (768).

It is not an unprimeable number, because it can be changed into a prime (1284198191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3050142 + ... + 3050562.

It is an arithmetic number, because the mean of its divisors is an integer number (24175536).

Almost surely, 2^1284198192 is an apocalyptic number.

1284198192 is a gapful number since it is divisible by the number (12) 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 1284198192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934042880).

1284198192 is an abundant number, since it is smaller than the sum of its proper divisors (2583887568).

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

1284198192 is a wasteful number, since it uses less digits than its factorization.

1284198192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 756 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 1284198192 is about 35835.7111273099. The cubic root of 1284198192 is about 1086.9527977163.

The spelling of 1284198192 in words is "one billion, two hundred eighty-four million, one hundred ninety-eight thousand, one hundred ninety-two".