851549088 has 144 divisors (see below), whose sum is σ = 2457060480. Its totient is φ = 258066432.

The previous prime is 851549009. The next prime is 851549089. The reversal of 851549088 is 880945158.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851549089) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1183993 + ... + 1184711.

It is an arithmetic number, because the mean of its divisors is an integer number (17062920).

Almost surely, 2^851549088 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 851549088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228530240).

851549088 is an abundant number, since it is smaller than the sum of its proper divisors (1605511392).

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

851549088 is a wasteful number, since it uses less digits than its factorization.

851549088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The square root of 851549088 is about 29181.3140211335. The cubic root of 851549088 is about 947.8433396703.

The spelling of 851549088 in words is "eight hundred fifty-one million, five hundred forty-nine thousand, eighty-eight".