993114000 has 320 divisors, whose sum is σ = 3635124480. Its totient is φ = 259084800.

The previous prime is 993113981. The next prime is 993114011. The reversal of 993114000 is 411399.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2861827 + ... + 2862173.

It is an arithmetic number, because the mean of its divisors is an integer number (11359764).

Almost surely, 2^993114000 is an apocalyptic number.

993114000 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 993114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817562240).

993114000 is an abundant number, since it is smaller than the sum of its proper divisors (2642010480).

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

993114000 is a wasteful number, since it uses less digits than its factorization.

993114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 993114000 is about 31513.7113015906. The cubic root of 993114000 is about 997.6993778634.

Adding to 993114000 its reverse (411399), we get a palindrome (993525399).

The spelling of 993114000 in words is "nine hundred ninety-three million, one hundred fourteen thousand".