1020578160 has 160 divisors (see below), whose sum is σ = 3806184960. Its totient is φ = 220990464.

The previous prime is 1020578159. The next prime is 1020578197. The reversal of 1020578160 is 618750201.

1020578160 is digitally balanced in base 2 and base 6, because in such bases 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 (30).

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, 15934 + ... + 47906.

It is an arithmetic number, because the mean of its divisors is an integer number (23788656).

Almost surely, 2^1020578160 is an apocalyptic number.

1020578160 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 1020578160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903092480).

1020578160 is an abundant number, since it is smaller than the sum of its proper divisors (2785606800).

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

1020578160 is a wasteful number, since it uses less digits than its factorization.

1020578160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32015 (or 32009 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 1020578160 is about 31946.4890089662. The cubic root of 1020578160 is about 1006.8128661152.

The spelling of 1020578160 in words is "one billion, twenty million, five hundred seventy-eight thousand, one hundred sixty".