906875970 has 384 divisors, whose sum is σ = 3096465408. Its totient is φ = 164736000.

The previous prime is 906875969. The next prime is 906876013. The reversal of 906875970 is 79578609.

906875970 = T₄₈₄ + T₄₈₅ + ... + T₁₇₇₀.

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 191 ways as a sum of consecutive naturals, for example, 8978920 + ... + 8979020.

It is an arithmetic number, because the mean of its divisors is an integer number (8063712).

Almost surely, 2^906875970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906875970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548232704).

906875970 is an abundant number, since it is smaller than the sum of its proper divisors (2189589438).

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

906875970 is a wasteful number, since it uses less digits than its factorization.

906875970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 906875970 is about 30114.3814480723. The cubic root of 906875970 is about 967.9419183157.

The spelling of 906875970 in words is "nine hundred six million, eight hundred seventy-five thousand, nine hundred seventy".