996858000 has 120 divisors (see below), whose sum is σ = 3481755576. Its totient is φ = 265824000.

The previous prime is 996857987. The next prime is 996858001. The reversal of 996858000 is 858699.

996858000 is a `hidden beast` number, since 9 + 9 + 68 + 580 + 0 + 0 = 666.

996858000 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 4 ways, for example, as 5363856 + 991494144 = 2316^2 + 31488^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (996858001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9691 + ... + 45690.

Almost surely, 2^996858000 is an apocalyptic number.

996858000 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 996858000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740877788).

996858000 is an abundant number, since it is smaller than the sum of its proper divisors (2484897576).

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

996858000 is a wasteful number, since it uses less digits than its factorization.

996858000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55410 (or 55391 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 996858000 is about 31573.0581350619. The cubic root of 996858000 is about 998.9515678408.

The spelling of 996858000 in words is "nine hundred ninety-six million, eight hundred fifty-eight thousand".