1018960416 has 72 divisors (see below), whose sum is σ = 3068134524. Its totient is φ = 319672320.

The previous prime is 1018960363. The next prime is 1018960451. The reversal of 1018960416 is 6140698101.

It is a happy number.

1018960416 is a `hidden beast` number, since 1 + 0 + 189 + 60 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1007427600 + 11532816 = 31740^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1018960416³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99165 + ... + 108956.

Almost surely, 2^1018960416 is an apocalyptic number.

1018960416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1018960416 is an abundant number, since it is smaller than the sum of its proper divisors (2049174108).

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

1018960416 is a wasteful number, since it uses less digits than its factorization.

1018960416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208154 (or 208143 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1018960416 is about 31921.1593774412. The cubic root of 1018960416 is about 1006.2806100226.

The spelling of 1018960416 in words is "one billion, eighteen million, nine hundred sixty thousand, four hundred sixteen".