1061766144 has 264 divisors, whose sum is σ = 3379809888. Its totient is φ = 331776000.

The previous prime is 1061766131. The next prime is 1061766149. The reversal of 1061766144 is 4416671601.

It is a happy number.

It is a super-2 number, since 2×1061766144² = 2254694689089257472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1061766099 and 1061766108.

It is not an unprimeable number, because it can be changed into a prime (1061766149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4230019 + ... + 4230269.

Almost surely, 2^1061766144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689904944).

1061766144 is an abundant number, since it is smaller than the sum of its proper divisors (2318043744).

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

1061766144 is an equidigital number, since it uses as much as digits as its factorization.

1061766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1061766144 is about 32584.7532444240. The cubic root of 1061766144 is about 1020.1787921877.

The spelling of 1061766144 in words is "one billion, sixty-one million, seven hundred sixty-six thousand, one hundred forty-four".