1061440512 has 176 divisors, whose sum is σ = 3126898944. Its totient is φ = 317440000.

The previous prime is 1061440511. The next prime is 1061440519. The reversal of 1061440512 is 2150441601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×1061440512² = 2253311921029644288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1061440511) 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 15 ways as a sum of consecutive naturals, for example, 3412837 + ... + 3413147.

Almost surely, 2^1061440512 is an apocalyptic number.

1061440512 is a gapful number since it is divisible by the number (12) 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 1061440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563449472).

1061440512 is an abundant number, since it is smaller than the sum of its proper divisors (2065458432).

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

1061440512 is a wasteful number, since it uses less digits than its factorization.

1061440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1061440512 is about 32579.7561685167. The cubic root of 1061440512 is about 1020.0744889853.

The spelling of 1061440512 in words is "one billion, sixty-one million, four hundred forty thousand, five hundred twelve".