905067072 has 336 divisors, whose sum is σ = 3301788672. Its totient is φ = 230584320.

The previous prime is 905067047. The next prime is 905067113. The reversal of 905067072 is 270760509.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 1624618 + ... + 1625174.

It is an arithmetic number, because the mean of its divisors is an integer number (9826752).

Almost surely, 2^905067072 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 905067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650894336).

905067072 is an abundant number, since it is smaller than the sum of its proper divisors (2396721600).

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

905067072 is a wasteful number, since it uses less digits than its factorization.

905067072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 905067072 is about 30084.3326666888. The cubic root of 905067072 is about 967.2979222611.

The spelling of 905067072 in words is "nine hundred five million, sixty-seven thousand, seventy-two".