1011061680 has 80 divisors (see below), whose sum is σ = 3177281760. Its totient is φ = 265918464.

The previous prime is 1011061663. The next prime is 1011061693. The reversal of 1011061680 is 861601101.

It is a tau number, because it is divible by the number of its divisors (80).

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 1011061680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11335 + ... + 46374.

It is an arithmetic number, because the mean of its divisors is an integer number (39716022).

Almost surely, 2^1011061680 is an apocalyptic number.

1011061680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011061680 is an abundant number, since it is smaller than the sum of its proper divisors (2166220080).

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

1011061680 is a wasteful number, since it uses less digits than its factorization.

1011061680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57798 (or 57792 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 1011061680 is about 31797.1961028013. The cubic root of 1011061680 is about 1003.6737139653.

Adding to 1011061680 its reverse (861601101), we get a palindrome (1872662781).

The spelling of 1011061680 in words is "one billion, eleven million, sixty-one thousand, six hundred eighty".