1006661952 has 112 divisors (see below), whose sum is σ = 3115259200. Its totient is φ = 317882880.

The previous prime is 1006661939. The next prime is 1006661993. The reversal of 1006661952 is 2591666001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17502 + ... + 48162.

Almost surely, 2^1006661952 is an apocalyptic number.

1006661952 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 1006661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557629600).

1006661952 is an abundant number, since it is smaller than the sum of its proper divisors (2108597248).

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

1006661952 is a wasteful number, since it uses less digits than its factorization.

1006661952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30701 (or 30685 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1006661952 is about 31727.9364598456. The cubic root of 1006661952 is about 1002.2157375477.

The spelling of 1006661952 in words is "one billion, six million, six hundred sixty-one thousand, nine hundred fifty-two".