840913920 has 704 divisors, whose sum is σ = 3773030400. Its totient is φ = 172523520.

The previous prime is 840913907. The next prime is 840913933. The reversal of 840913920 is 29319048.

It is an interprime number because it is at equal distance from previous prime (840913907) and next prime (840913933).

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10644441 + ... + 10644519.

Almost surely, 2^840913920 is an apocalyptic number.

840913920 is a gapful number since it is divisible by the number (80) 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 840913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886515200).

840913920 is an abundant number, since it is smaller than the sum of its proper divisors (2932116480).

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

840913920 is a wasteful number, since it uses less digits than its factorization.

840913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 840913920 is about 28998.5158240900. The cubic root of 840913920 is about 943.8808621074.

The spelling of 840913920 in words is "eight hundred forty million, nine hundred thirteen thousand, nine hundred twenty".