1961132000 has 48 divisors (see below), whose sum is σ = 4818511152. Its totient is φ = 784451200.

The previous prime is 1961131993. The next prime is 1961132021. The reversal of 1961132000 is 2311691.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241142 + ... + 249141.

It is an arithmetic number, because the mean of its divisors is an integer number (100385649).

Almost surely, 2^1961132000 is an apocalyptic number.

1961132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1961132000 is an abundant number, since it is smaller than the sum of its proper divisors (2857379152).

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

1961132000 is an equidigital number, since it uses as much as digits as its factorization.

1961132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490308 (or 490290 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1961132000 is about 44284.6700337713. The cubic root of 1961132000 is about 1251.7058310534.

Adding to 1961132000 its reverse (2311691), we get a palindrome (1963443691).

The spelling of 1961132000 in words is "one billion, nine hundred sixty-one million, one hundred thirty-two thousand".