806975352 has 64 divisors (see below), whose sum is σ = 2248569600. Its totient is φ = 268155360.

The previous prime is 806975341. The next prime is 806975359. The reversal of 806975352 is 253579608.

It is a happy number.

806975352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 806975298 and 806975307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806975359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65853 + ... + 77139.

It is an arithmetic number, because the mean of its divisors is an integer number (35133900).

Almost surely, 2^806975352 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 806975352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124284800).

806975352 is an abundant number, since it is smaller than the sum of its proper divisors (1441594248).

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

806975352 is a wasteful number, since it uses less digits than its factorization.

806975352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11633 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 806975352 is about 28407.3115940245. The cubic root of 806975352 is about 931.0080225192.

The spelling of 806975352 in words is "eight hundred six million, nine hundred seventy-five thousand, three hundred fifty-two".