906437952 has 140 divisors (see below), whose sum is σ = 3070941280. Its totient is φ = 258971904.

The previous prime is 906437927. The next prime is 906437953. The reversal of 906437952 is 259734609.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 906437898 and 906437907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906437953) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 23799 + ... + 48777.

Almost surely, 2^906437952 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 906437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535470640).

906437952 is an abundant number, since it is smaller than the sum of its proper divisors (2164503328).

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

906437952 is a wasteful number, since it uses less digits than its factorization.

906437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25010 (or 24991 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 906437952 is about 30107.1079979463. The cubic root of 906437952 is about 967.7860556711.

The spelling of 906437952 in words is "nine hundred six million, four hundred thirty-seven thousand, nine hundred fifty-two".