1016417520 has 120 divisors (see below), whose sum is σ = 3531247200. Its totient is φ = 261692928.

The previous prime is 1016417513. The next prime is 1016417543. The reversal of 1016417520 is 257146101.

It is a happy number.

1016417520 is a `hidden beast` number, since 10 + 1 + 641 + 7 + 5 + 2 + 0 = 666.

1016417520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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, 3460 + ... + 45219.

It is an arithmetic number, because the mean of its divisors is an integer number (29427060).

Almost surely, 2^1016417520 is an apocalyptic number.

1016417520 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 1016417520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765623600).

1016417520 is an abundant number, since it is smaller than the sum of its proper divisors (2514829680).

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

1016417520 is a wasteful number, since it uses less digits than its factorization.

1016417520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48727 (or 48718 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1016417520 is about 31881.3036119918. The cubic root of 1016417520 is about 1005.4428285374.

The spelling of 1016417520 in words is "one billion, sixteen million, four hundred seventeen thousand, five hundred twenty".