1064761152 has 224 divisors, whose sum is σ = 3499104000. Its totient is φ = 278249472.

The previous prime is 1064761147. The next prime is 1064761177. The reversal of 1064761152 is 2511674601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1064761152² = 2267432621616734208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2603124 + ... + 2603532.

It is an arithmetic number, because the mean of its divisors is an integer number (15621000).

Almost surely, 2^1064761152 is an apocalyptic number.

1064761152 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 1064761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749552000).

1064761152 is an abundant number, since it is smaller than the sum of its proper divisors (2434342848).

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

1064761152 is a wasteful number, since it uses less digits than its factorization.

1064761152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1064761152 is about 32630.6780806038. The cubic root of 1064761152 is about 1021.1371247560.

The spelling of 1064761152 in words is "one billion, sixty-four million, seven hundred sixty-one thousand, one hundred fifty-two".