961899300 has 180 divisors, whose sum is σ = 3142962900. Its totient is φ = 254465280.

The previous prime is 961899299. The next prime is 961899313. The reversal of 961899300 is 3998169.

961899300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 124144164 + 837755136 = 11142^2 + 28944^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1206502 + ... + 1207298.

It is an arithmetic number, because the mean of its divisors is an integer number (17460905).

Almost surely, 2^961899300 is an apocalyptic number.

961899300 is a gapful number since it is divisible by the number (90) 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 961899300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571481450).

961899300 is an abundant number, since it is smaller than the sum of its proper divisors (2181063600).

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

961899300 is a wasteful number, since it uses less digits than its factorization.

961899300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 961899300 is about 31014.5014469038. The cubic root of 961899300 is about 987.1349673617.

The spelling of 961899300 in words is "nine hundred sixty-one million, eight hundred ninety-nine thousand, three hundred".