1066978560 has 72 divisors (see below), whose sum is σ = 3407675040. Its totient is φ = 284526592.

The previous prime is 1066978559. The next prime is 1066978567. The reversal of 1066978560 is 658796601.

It is a super-2 number, since 2×1066978560² = 2276886494999347200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066978567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135090 + ... + 142769.

It is an arithmetic number, because the mean of its divisors is an integer number (47328820).

Almost surely, 2^1066978560 is an apocalyptic number.

1066978560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066978560 is an abundant number, since it is smaller than the sum of its proper divisors (2340696480).

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

1066978560 is an equidigital number, since it uses as much as digits as its factorization.

1066978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277883 (or 277869 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 1066978560 is about 32664.6377601222. The cubic root of 1066978560 is about 1021.8454863213.

The spelling of 1066978560 in words is "one billion, sixty-six million, nine hundred seventy-eight thousand, five hundred sixty".