851393088 has 336 divisors, whose sum is σ = 3091728640. Its totient is φ = 217976832.

The previous prime is 851393057. The next prime is 851393089. The reversal of 851393088 is 880393158.

851393088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (851393089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1939173 + ... + 1939611.

Almost surely, 2^851393088 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 851393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545864320).

851393088 is an abundant number, since it is smaller than the sum of its proper divisors (2240335552).

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

851393088 is a wasteful number, since it uses less digits than its factorization.

851393088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 851393088 is about 29178.6409553290. The cubic root of 851393088 is about 947.7854559094.

The spelling of 851393088 in words is "eight hundred fifty-one million, three hundred ninety-three thousand, eighty-eight".