851632408 has 128 divisors (see below), whose sum is σ = 1965150720. Its totient is φ = 341186560.

The previous prime is 851632399. The next prime is 851632423. The reversal of 851632408 is 804236158.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823391 + ... + 1823857.

It is an arithmetic number, because the mean of its divisors is an integer number (15352740).

Almost surely, 2^851632408 is an apocalyptic number.

851632408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851632408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982575360).

851632408 is an abundant number, since it is smaller than the sum of its proper divisors (1113518312).

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

851632408 is a wasteful number, since it uses less digits than its factorization.

851632408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 851632408 is about 29182.7416121241. The cubic root of 851632408 is about 947.8742526392.

It can be divided in two parts, 85163 and 2408, that added together give a triangular number (87571 = T₄₁₈).

The spelling of 851632408 in words is "eight hundred fifty-one million, six hundred thirty-two thousand, four hundred eight".