1016504160 has 192 divisors, whose sum is σ = 3711826944. Its totient is φ = 229017600.

The previous prime is 1016504141. The next prime is 1016504189. The reversal of 1016504160 is 614056101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1016504160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236430 + ... + 240690.

It is an arithmetic number, because the mean of its divisors is an integer number (19332432).

Almost surely, 2^1016504160 is an apocalyptic number.

1016504160 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 1016504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855913472).

1016504160 is an abundant number, since it is smaller than the sum of its proper divisors (2695322784).

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

1016504160 is a wasteful number, since it uses less digits than its factorization.

With its successor (1016504161) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4349).

1016504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1016504160 is about 31882.6623731457. The cubic root of 1016504160 is about 1005.4713958961.

The spelling of 1016504160 in words is "one billion, sixteen million, five hundred four thousand, one hundred sixty".