1061124768 has 432 divisors, whose sum is σ = 3741323040. Its totient is φ = 282009600.

The previous prime is 1061124767. The next prime is 1061124769. The reversal of 1061124768 is 8674211601.

It is a happy number.

1061124768 is a `hidden beast` number, since 10 + 611 + 24 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1061124767) and next prime (1061124769).

It is a super-2 number, since 2×1061124768² = 2251971546526107648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1061124767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17395458 + ... + 17395518.

It is an arithmetic number, because the mean of its divisors is an integer number (8660470).

Almost surely, 2^1061124768 is an apocalyptic number.

1061124768 is a gapful number since it is divisible by the number (18) 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 1061124768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870661520).

1061124768 is an abundant number, since it is smaller than the sum of its proper divisors (2680198272).

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

1061124768 is a wasteful number, since it uses less digits than its factorization.

1061124768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1061124768 is about 32574.9100996457. The cubic root of 1061124768 is about 1019.9733326361.

The spelling of 1061124768 in words is "one billion, sixty-one million, one hundred twenty-four thousand, seven hundred sixty-eight".