1066167252 has 192 divisors, whose sum is σ = 3010560000. Its totient is φ = 325503360.

The previous prime is 1066167251. The next prime is 1066167293. The reversal of 1066167252 is 2527616601.

It is a happy number.

1066167252 is a `hidden beast` number, since 10 + 6 + 616 + 7 + 25 + 2 = 666.

It is a super-2 number, since 2×1066167252² = 2273425218474463008, 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 (1066167251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7670199 + ... + 7670337.

It is an arithmetic number, because the mean of its divisors is an integer number (15680000).

Almost surely, 2^1066167252 is an apocalyptic number.

1066167252 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 1066167252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505280000).

1066167252 is an abundant number, since it is smaller than the sum of its proper divisors (1944392748).

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

1066167252 is a wasteful number, since it uses less digits than its factorization.

1066167252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1066167252 is about 32652.2166475723. The cubic root of 1066167252 is about 1021.5864240609.

The spelling of 1066167252 in words is "one billion, sixty-six million, one hundred sixty-seven thousand, two hundred fifty-two".