1003916160 has 512 divisors, whose sum is σ = 3958416000. Its totient is φ = 238878720.

The previous prime is 1003916159. The next prime is 1003916197. The reversal of 1003916160 is 616193001.

1003916160 is a `hidden beast` number, since 10 + 0 + 39 + 1 + 616 + 0 = 666.

1003916160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 9210186 + ... + 9210294.

Almost surely, 2^1003916160 is an apocalyptic number.

1003916160 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 1003916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979208000).

1003916160 is an abundant number, since it is smaller than the sum of its proper divisors (2954499840).

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

1003916160 is a wasteful number, since it uses less digits than its factorization.

1003916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1003916160 is about 31684.6360244204. The cubic root of 1003916160 is about 1001.3036863300.

The spelling of 1003916160 in words is "one billion, three million, nine hundred sixteen thousand, one hundred sixty".