841607040 has 128 divisors (see below), whose sum is σ = 2695835520. Its totient is φ = 223324160.

The previous prime is 841607027. The next prime is 841607059. The reversal of 841607040 is 40706148.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 841606989 and 841607007.

It is a congruent number.

It is an unprimeable number.

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, 434875 + ... + 436805.

It is an arithmetic number, because the mean of its divisors is an integer number (21061215).

Almost surely, 2^841607040 is an apocalyptic number.

841607040 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 841607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347917760).

841607040 is an abundant number, since it is smaller than the sum of its proper divisors (1854228480).

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

841607040 is a wasteful number, since it uses less digits than its factorization.

841607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 841607040 is about 29010.4643189315. The cubic root of 841607040 is about 944.1401209221.

The spelling of 841607040 in words is "eight hundred forty-one million, six hundred seven thousand, forty".