1020764160 has 448 divisors, whose sum is σ = 3963375360. Its totient is φ = 247726080.

The previous prime is 1020764137. The next prime is 1020764197. The reversal of 1020764160 is 614670201.

1020764160 is a `hidden beast` number, since 10 + 2 + 0 + 7 + 641 + 6 + 0 = 666.

It is a super-3 number, since 3×1020764160³ (a number of 28 digits) contains 333 as substring.

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

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, 14376925 + ... + 14376995.

It is an arithmetic number, because the mean of its divisors is an integer number (8846820).

Almost surely, 2^1020764160 is an apocalyptic number.

1020764160 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 1020764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981687680).

1020764160 is an abundant number, since it is smaller than the sum of its proper divisors (2942611200).

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

1020764160 is an equidigital number, since it uses as much as digits as its factorization.

1020764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1020764160 is about 31949.3999943661. The cubic root of 1020764160 is about 1006.8740261600.

The spelling of 1020764160 in words is "one billion, twenty million, seven hundred sixty-four thousand, one hundred sixty".