1018957920 has 192 divisors, whose sum is σ = 3370429440. Its totient is φ = 258406400.

The previous prime is 1018957903. The next prime is 1018957921. The reversal of 1018957920 is 297598101.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1018957921) 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, 987805 + ... + 988835.

It is an arithmetic number, because the mean of its divisors is an integer number (17554320).

Almost surely, 2^1018957920 is an apocalyptic number.

1018957920 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 1018957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685214720).

1018957920 is an abundant number, since it is smaller than the sum of its proper divisors (2351471520).

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

1018957920 is a wasteful number, since it uses less digits than its factorization.

1018957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 1018957920 is about 31921.1202810929. The cubic root of 1018957920 is about 1006.2797883753.

The spelling of 1018957920 in words is "one billion, eighteen million, nine hundred fifty-seven thousand, nine hundred twenty".