906096960 has 168 divisors, whose sum is σ = 3252337920. Its totient is φ = 231103488.

The previous prime is 906096929. The next prime is 906097009. The reversal of 906096960 is 69690609.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59401 + ... + 73079.

Almost surely, 2^906096960 is an apocalyptic number.

906096960 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 906096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626168960).

906096960 is an abundant number, since it is smaller than the sum of its proper divisors (2346240960).

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

906096960 is a wasteful number, since it uses less digits than its factorization.

906096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13725 (or 13712 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 906096960 is about 30101.4444836124. Note that the first 4 decimals coincide. The cubic root of 906096960 is about 967.6646836226.

The spelling of 906096960 in words is "nine hundred six million, ninety-six thousand, nine hundred sixty".