1960521840 has 640 divisors, whose sum is σ = 7770931200. Its totient is φ = 451630080.

The previous prime is 1960521839. The next prime is 1960521847. The reversal of 1960521840 is 481250691.

1960521840 is a `hidden beast` number, since 1 + 9 + 605 + 2 + 1 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1960521795 and 1960521804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960521847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29261487 + ... + 29261553.

It is an arithmetic number, because the mean of its divisors is an integer number (12142080).

Almost surely, 2^1960521840 is an apocalyptic number.

1960521840 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 1960521840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885465600).

1960521840 is an abundant number, since it is smaller than the sum of its proper divisors (5810409360).

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

1960521840 is a wasteful number, since it uses less digits than its factorization.

1960521840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1960521840 is about 44277.7804321761. The cubic root of 1960521840 is about 1251.5760046657.

The spelling of 1960521840 in words is "one billion, nine hundred sixty million, five hundred twenty-one thousand, eight hundred forty".