906194016 has 288 divisors, whose sum is σ = 3222955008. Its totient is φ = 235146240.

The previous prime is 906193909. The next prime is 906194071. The reversal of 906194016 is 610491609.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1860525 + ... + 1861011.

It is an arithmetic number, because the mean of its divisors is an integer number (11190816).

Almost surely, 2^906194016 is an apocalyptic number.

906194016 is a gapful number since it is divisible by the number (96) 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 906194016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611477504).

906194016 is an abundant number, since it is smaller than the sum of its proper divisors (2316760992).

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

906194016 is a wasteful number, since it uses less digits than its factorization.

906194016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 906194016 is about 30103.0565889911. The cubic root of 906194016 is about 967.6992326516.

The spelling of 906194016 in words is "nine hundred six million, one hundred ninety-four thousand, sixteen".