1960240320 has 336 divisors, whose sum is σ = 7129467072. Its totient is φ = 493363200.

The previous prime is 1960240319. The next prime is 1960240333. The reversal of 1960240320 is 230420691.

1960240320 is a `hidden beast` number, since 19 + 602 + 40 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×1960240320² = 7685084224307404800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6690094 + ... + 6690386.

It is an arithmetic number, because the mean of its divisors is an integer number (21218652).

Almost surely, 2^1960240320 is an apocalyptic number.

1960240320 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 1960240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564733536).

1960240320 is an abundant number, since it is smaller than the sum of its proper divisors (5169226752).

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

1960240320 is a wasteful number, since it uses less digits than its factorization.

1960240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1960240320 is about 44274.6012969061. The cubic root of 1960240320 is about 1251.5160953538.

The spelling of 1960240320 in words is "one billion, nine hundred sixty million, two hundred forty thousand, three hundred twenty".