1960418920 has 128 divisors (see below), whose sum is σ = 4869642240. Its totient is φ = 707051520.

The previous prime is 1960418839. The next prime is 1960418921. The reversal of 1960418920 is 298140691.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1960418921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2381629 + ... + 2382451.

It is an arithmetic number, because the mean of its divisors is an integer number (38044080).

Almost surely, 2^1960418920 is an apocalyptic number.

1960418920 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 1960418920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434821120).

1960418920 is an abundant number, since it is smaller than the sum of its proper divisors (2909223320).

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

1960418920 is a wasteful number, since it uses less digits than its factorization.

1960418920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 1960418920 is about 44276.6182087115. The cubic root of 1960418920 is about 1251.5541032763.

The spelling of 1960418920 in words is "one billion, nine hundred sixty million, four hundred eighteen thousand, nine hundred twenty".