1012688160 has 384 divisors, whose sum is σ = 3762339840. Its totient is φ = 226406400.

The previous prime is 1012688111. The next prime is 1012688189. The reversal of 1012688160 is 618862101.

1012688160 = 104² + 105² + ... + 1448².

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3764506 + ... + 3764774.

It is an arithmetic number, because the mean of its divisors is an integer number (9797760).

Almost surely, 2^1012688160 is an apocalyptic number.

1012688160 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 1012688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881169920).

1012688160 is an abundant number, since it is smaller than the sum of its proper divisors (2749651680).

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

1012688160 is a wasteful number, since it uses less digits than its factorization.

1012688160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1012688160 is about 31822.7616651981. The cubic root of 1012688160 is about 1004.2116239884.

The spelling of 1012688160 in words is "one billion, twelve million, six hundred eighty-eight thousand, one hundred sixty".