1018198272 has 288 divisors, whose sum is σ = 3535564032. Its totient is φ = 252444672.

The previous prime is 1018198241. The next prime is 1018198297. The reversal of 1018198272 is 2728918101.

It is a super-2 number, since 2×1018198272² = 2073455442207571968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1018198272.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1187668 + ... + 1188524.

It is an arithmetic number, because the mean of its divisors is an integer number (12276264).

Almost surely, 2^1018198272 is an apocalyptic number.

1018198272 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 1018198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767782016).

1018198272 is an abundant number, since it is smaller than the sum of its proper divisors (2517365760).

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

1018198272 is a wasteful number, since it uses less digits than its factorization.

1018198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

The square root of 1018198272 is about 31909.2192320652. The cubic root of 1018198272 is about 1006.0296607844.

The spelling of 1018198272 in words is "one billion, eighteen million, one hundred ninety-eight thousand, two hundred seventy-two".