1004117760 has 216 divisors, whose sum is σ = 3512605824. Its totient is φ = 264806400.

The previous prime is 1004117759. The next prime is 1004117771. The reversal of 1004117760 is 677114001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163089 + ... + 1163951.

It is an arithmetic number, because the mean of its divisors is an integer number (16262064).

Almost surely, 2^1004117760 is an apocalyptic number.

1004117760 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 1004117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756302912).

1004117760 is an abundant number, since it is smaller than the sum of its proper divisors (2508488064).

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

1004117760 is a wasteful number, since it uses less digits than its factorization.

1004117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1004117760 is about 31687.8172173471. The cubic root of 1004117760 is about 1001.3707069706.

The spelling of 1004117760 in words is "one billion, four million, one hundred seventeen thousand, seven hundred sixty".