1960640000 has 200 divisors, whose sum is σ = 5349856248. Its totient is φ = 711680000.

The previous prime is 1960639999. The next prime is 1960640009. The reversal of 1960640000 is 460691.

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960640009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3519722 + ... + 3520278.

Almost surely, 2^1960640000 is an apocalyptic number.

1960640000 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 1960640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674928124).

1960640000 is an abundant number, since it is smaller than the sum of its proper divisors (3389216248).

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

1960640000 is an frugal number, since it uses more digits than its factorization.

1960640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1960640000 is about 44279.1147156309. The cubic root of 1960640000 is about 1251.6011481839.

The spelling of 1960640000 in words is "one billion, nine hundred sixty million, six hundred forty thousand".