1020662160 has 240 divisors, whose sum is σ = 3706459200. Its totient is φ = 231662592.

The previous prime is 1020662107. The next prime is 1020662161. The reversal of 1020662160 is 612660201.

It is a tau number, because it is divible by the number of its divisors (240).

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 1020662160.

It is not an unprimeable number, because it can be changed into a prime (1020662161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2692851 + ... + 2693229.

It is an arithmetic number, because the mean of its divisors is an integer number (15443580).

Almost surely, 2^1020662160 is an apocalyptic number.

1020662160 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 1020662160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853229600).

1020662160 is an abundant number, since it is smaller than the sum of its proper divisors (2685797040).

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

1020662160 is a wasteful number, since it uses less digits than its factorization.

1020662160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1020662160 is about 31947.8036803784. The cubic root of 1020662160 is about 1006.8404877007.

The spelling of 1020662160 in words is "one billion, twenty million, six hundred sixty-two thousand, one hundred sixty".