950098800 has 240 divisors, whose sum is σ = 3661948160. Its totient is φ = 205701120.

The previous prime is 950098733. The next prime is 950098813. The reversal of 950098800 is 8890059.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×950098800² = 1805375459522880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156624 + ... + 162576.

Almost surely, 2^950098800 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 950098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830974080).

950098800 is an abundant number, since it is smaller than the sum of its proper divisors (2711849360).

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

950098800 is a wasteful number, since it uses less digits than its factorization.

950098800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 950098800 is about 30823.6727208164. The cubic root of 950098800 is about 983.0816502927.

The spelling of 950098800 in words is "nine hundred fifty million, ninety-eight thousand, eight hundred".