1018216640 has 112 divisors (see below), whose sum is σ = 2783579904. Its totient is φ = 347520000.

The previous prime is 1018216627. The next prime is 1018216679. The reversal of 1018216640 is 466128101.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 561335 + ... + 563145.

It is an arithmetic number, because the mean of its divisors is an integer number (24853392).

Almost surely, 2^1018216640 is an apocalyptic number.

1018216640 is a gapful number since it is divisible by the number (10) 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 1018216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391789952).

1018216640 is an abundant number, since it is smaller than the sum of its proper divisors (1765363264).

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

1018216640 is a wasteful number, since it uses less digits than its factorization.

1018216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 1018216640 is about 31909.5070472735. The cubic root of 1018216640 is about 1006.0357102420.

The spelling of 1018216640 in words is "one billion, eighteen million, two hundred sixteen thousand, six hundred forty".