906713424 has 60 divisors (see below), whose sum is σ = 2545771956. Its totient is φ = 301257216.

The previous prime is 906713419. The next prime is 906713443. The reversal of 906713424 is 424317609.

It can be written as a sum of positive squares in 2 ways, for example, as 67568400 + 839145024 = 8220^2 + 28968^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35014 + ... + 55130.

Almost surely, 2^906713424 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 906713424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272885978).

906713424 is an abundant number, since it is smaller than the sum of its proper divisors (1639058532).

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

906713424 is a wasteful number, since it uses less digits than its factorization.

906713424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20444 (or 20435 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 906713424 is about 30111.6825169236. The cubic root of 906713424 is about 967.8840844284.

The spelling of 906713424 in words is "nine hundred six million, seven hundred thirteen thousand, four hundred twenty-four".