906265152 has 112 divisors (see below), whose sum is σ = 2869265280. Its totient is φ = 278843904.

The previous prime is 906265133. The next prime is 906265177. The reversal of 906265152 is 251562609.

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 15 ways as a sum of consecutive naturals, for example, 2293 + ... + 42635.

It is an arithmetic number, because the mean of its divisors is an integer number (25618440).

Almost surely, 2^906265152 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 906265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434632640).

906265152 is an abundant number, since it is smaller than the sum of its proper divisors (1963000128).

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

906265152 is a wasteful number, since it uses less digits than its factorization.

906265152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40377 (or 40361 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 906265152 is about 30104.2381069510. The cubic root of 906265152 is about 967.7245533704.

The spelling of 906265152 in words is "nine hundred six million, two hundred sixty-five thousand, one hundred fifty-two".