906390000 has 300 divisors, whose sum is σ = 3295988696. Its totient is φ = 241056000.

The previous prime is 906389977. The next prime is 906390007. The reversal of 906390000 is 93609.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906390007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2429814 + ... + 2430186.

Almost surely, 2^906390000 is an apocalyptic number.

906390000 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 906390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647994348).

906390000 is an abundant number, since it is smaller than the sum of its proper divisors (2389598696).

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

906390000 is an equidigital number, since it uses as much as digits as its factorization.

906390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 906390000 is about 30106.3116306199. The cubic root of 906390000 is about 967.7689895663.

The spelling of 906390000 in words is "nine hundred six million, three hundred ninety thousand".