874834632 has 288 divisors, whose sum is σ = 3001939200. Its totient is φ = 228614400.

The previous prime is 874834627. The next prime is 874834633. The reversal of 874834632 is 236438478.

874834632 is a `hidden beast` number, since 8 + 7 + 4 + 8 + 3 + 4 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (874834633) 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 71 ways as a sum of consecutive naturals, for example, 2077782 + ... + 2078202.

It is an arithmetic number, because the mean of its divisors is an integer number (10423400).

Almost surely, 2^874834632 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 874834632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500969600).

874834632 is an abundant number, since it is smaller than the sum of its proper divisors (2127104568).

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

874834632 is a wasteful number, since it uses less digits than its factorization.

874834632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 874834632 is about 29577.6035540407. The cubic root of 874834632 is about 956.4053328082.

The spelling of 874834632 in words is "eight hundred seventy-four million, eight hundred thirty-four thousand, six hundred thirty-two".