840133632 has 176 divisors, whose sum is σ = 2446246880. Its totient is φ = 254803968.

The previous prime is 840133631. The next prime is 840133633. The reversal of 840133632 is 236331048.

It is an interprime number because it is at equal distance from previous prime (840133631) and next prime (840133633).

It is a super-2 number, since 2×840133632² = 1411649039235022848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 840133632.

It is not an unprimeable number, because it can be changed into a prime (840133631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4352928 + ... + 4353120.

It is an arithmetic number, because the mean of its divisors is an integer number (13899130).

Almost surely, 2^840133632 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 840133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223123440).

840133632 is an abundant number, since it is smaller than the sum of its proper divisors (1606113248).

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

840133632 is a wasteful number, since it uses less digits than its factorization.

840133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 840133632 is about 28985.0587717189. The cubic root of 840133632 is about 943.5888279247.

The spelling of 840133632 in words is "eight hundred forty million, one hundred thirty-three thousand, six hundred thirty-two".