1041680640 has 576 divisors, whose sum is σ = 4483325952. Its totient is φ = 199065600.

The previous prime is 1041680639. The next prime is 1041680663. The reversal of 1041680640 is 460861401.

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 = 1041680598 and 1041680607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3843705 + ... + 3843975.

It is an arithmetic number, because the mean of its divisors is an integer number (7783552).

Almost surely, 2^1041680640 is an apocalyptic number.

1041680640 is a gapful number since it is divisible by the number (10) 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 1041680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241662976).

1041680640 is an abundant number, since it is smaller than the sum of its proper divisors (3441645312).

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

1041680640 is a wasteful number, since it uses less digits than its factorization.

1041680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1041680640 is about 32275.0776916183. The cubic root of 1041680640 is about 1013.7048653025.

The spelling of 1041680640 in words is "one billion, forty-one million, six hundred eighty thousand, six hundred forty".