96961800 has 192 divisors, whose sum is σ = 334978560. Its totient is φ = 23040000.

The previous prime is 96961759. The next prime is 96961847. The reversal of 96961800 is 816969.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241600 + ... + 242000.

It is an arithmetic number, because the mean of its divisors is an integer number (1744680).

Almost surely, 2^96961800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167489280).

96961800 is an abundant number, since it is smaller than the sum of its proper divisors (238016760).

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

96961800 is a wasteful number, since it uses less digits than its factorization.

96961800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 96961800 is about 9846.9182996509. The cubic root of 96961800 is about 459.4097659837.

The spelling of 96961800 in words is "ninety-six million, nine hundred sixty-one thousand, eight hundred".