1960240032 has 144 divisors (see below), whose sum is σ = 5890772160. Its totient is φ = 616605696.

The previous prime is 1960240031. The next prime is 1960240039. The reversal of 1960240032 is 2300420691.

1960240032 is a `hidden beast` number, since 19 + 602 + 40 + 0 + 3 + 2 = 666.

1960240032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1960240032² = 7685081966110722048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1960239978 and 1960240005.

It is not an unprimeable number, because it can be changed into a prime (1960240031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1843533 + ... + 1844595.

It is an arithmetic number, because the mean of its divisors is an integer number (40908140).

Almost surely, 2^1960240032 is an apocalyptic number.

1960240032 is a gapful number since it is divisible by the number (12) 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 1960240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945386080).

1960240032 is an abundant number, since it is smaller than the sum of its proper divisors (3930532128).

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

1960240032 is a wasteful number, since it uses less digits than its factorization.

1960240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1424 counting only the distinct ones).

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

The square root of 1960240032 is about 44274.5980444769. The cubic root of 1960240032 is about 1251.5160340626.

The spelling of 1960240032 in words is "one billion, nine hundred sixty million, two hundred forty thousand, thirty-two".