929141840 has 80 divisors (see below), whose sum is σ = 2385222336. Its totient is φ = 333772800.

The previous prime is 929141839. The next prime is 929141849. The reversal of 929141840 is 48141929.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 929141794 and 929141803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (929141849) 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 15 ways as a sum of consecutive naturals, for example, 66680 + ... + 79400.

Almost surely, 2^929141840 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 929141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192611168).

929141840 is an abundant number, since it is smaller than the sum of its proper divisors (1456080496).

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

929141840 is a wasteful number, since it uses less digits than its factorization.

929141840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12828 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 929141840 is about 30481.8280291717. The cubic root of 929141840 is about 975.7996823055.

The spelling of 929141840 in words is "nine hundred twenty-nine million, one hundred forty-one thousand, eight hundred forty".