851975040 has 128 divisors (see below), whose sum is σ = 3103672320. Its totient is φ = 194734080.

The previous prime is 851975027. The next prime is 851975051. The reversal of 851975040 is 40579158.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×851975040² = 1451722937566003200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 851975040.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18256 + ... + 45135.

It is an arithmetic number, because the mean of its divisors is an integer number (24247440).

Almost surely, 2^851975040 is an apocalyptic number.

851975040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

851975040 is an abundant number, since it is smaller than the sum of its proper divisors (2251697280).

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

851975040 is a wasteful number, since it uses less digits than its factorization.

851975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63420 (or 63408 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 851975040 is about 29188.6114777665. The cubic root of 851975040 is about 948.0013530576.

The spelling of 851975040 in words is "eight hundred fifty-one million, nine hundred seventy-five thousand, forty".