1071661752 has 120 divisors (see below), whose sum is σ = 3491813160. Its totient is φ = 306180000.

The previous prime is 1071661751. The next prime is 1071661763. The reversal of 1071661752 is 2571661701.

1071661752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1071661752² = 2296917821399419008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071661751) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14877 + ... + 48627.

It is an arithmetic number, because the mean of its divisors is an integer number (29098443).

Almost surely, 2^1071661752 is an apocalyptic number.

1071661752 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 1071661752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745906580).

1071661752 is an abundant number, since it is smaller than the sum of its proper divisors (2420151408).

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

1071661752 is a wasteful number, since it uses less digits than its factorization.

1071661752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33783 (or 33763 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1071661752 is about 32736.2452336856. The cubic root of 1071661752 is about 1023.3383354722.

The spelling of 1071661752 in words is "one billion, seventy-one million, six hundred sixty-one thousand, seven hundred fifty-two".