840129312 has 96 divisors (see below), whose sum is σ = 2429953344. Its totient is φ = 252032000.

The previous prime is 840129293. The next prime is 840129461. The reversal of 840129312 is 213921048.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×840129312³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 840129312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102718 + ... + 110594.

It is an arithmetic number, because the mean of its divisors is an integer number (25312014).

Almost surely, 2^840129312 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 840129312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214976672).

840129312 is an abundant number, since it is smaller than the sum of its proper divisors (1589824032).

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

840129312 is a wasteful number, since it uses less digits than its factorization.

840129312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8002 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 840129312 is about 28984.9842504701. The cubic root of 840129312 is about 943.5872105984.

The spelling of 840129312 in words is "eight hundred forty million, one hundred twenty-nine thousand, three hundred twelve".