906160000 has 160 divisors (see below), whose sum is σ = 2313384480. Its totient is φ = 353280000.

The previous prime is 906159971. The next prime is 906160001. The reversal of 906160000 is 61609.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×906160000² = 1642251891200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906160001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3759880 + ... + 3760120.

It is an arithmetic number, because the mean of its divisors is an integer number (14458653).

Almost surely, 2^906160000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156692240).

906160000 is an abundant number, since it is smaller than the sum of its proper divisors (1407224480).

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

906160000 is an equidigital number, since it uses as much as digits as its factorization.

906160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 906160000 is about 30102.4915912288. The cubic root of 906160000 is about 967.6871242553.

The spelling of 906160000 in words is "nine hundred six million, one hundred sixty thousand".