1006114752 has 168 divisors, whose sum is σ = 3060954000. Its totient is φ = 315076608.

The previous prime is 1006114751. The next prime is 1006114793. The reversal of 1006114752 is 2574116001.

It is a happy number.

1006114752 is a `hidden beast` number, since 1 + 0 + 0 + 611 + 47 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006114751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630348 + ... + 1630964.

Almost surely, 2^1006114752 is an apocalyptic number.

1006114752 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 1006114752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530477000).

1006114752 is an abundant number, since it is smaller than the sum of its proper divisors (2054839248).

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

1006114752 is a wasteful number, since it uses less digits than its factorization.

1006114752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1006114752 is about 31719.3119723616. The cubic root of 1006114752 is about 1002.0341102567.

The spelling of 1006114752 in words is "one billion, six million, one hundred fourteen thousand, seven hundred fifty-two".