906114330 has 128 divisors (see below), whose sum is σ = 2681164800. Its totient is φ = 215899200.

The previous prime is 906114281. The next prime is 906114373. The reversal of 906114330 is 33411609.

906114330 is a `hidden beast` number, since 9 + 0 + 611 + 43 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 906114294 and 906114303.

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, 172645 + ... + 177815.

It is an arithmetic number, because the mean of its divisors is an integer number (20946600).

Almost surely, 2^906114330 is an apocalyptic number.

906114330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 906114330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340582400).

906114330 is an abundant number, since it is smaller than the sum of its proper divisors (1775050470).

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

906114330 is a wasteful number, since it uses less digits than its factorization.

906114330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 906114330 is about 30101.7330065895. The cubic root of 906114330 is about 967.6708670036.

Adding to 906114330 its reverse (33411609), we get a palindrome (939525939).

The spelling of 906114330 in words is "nine hundred six million, one hundred fourteen thousand, three hundred thirty".