1006665120 has 72 divisors (see below), whose sum is σ = 3435249636. Its totient is φ = 268443648.

The previous prime is 1006665103. The next prime is 1006665137. The reversal of 1006665120 is 215666001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1006665103) and next prime (1006665137).

It can be written as a sum of positive squares in 2 ways, for example, as 951845904 + 54819216 = 30852^2 + 7404^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1006665120² = 2026749327649228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348097 + ... + 350976.

Almost surely, 2^1006665120 is an apocalyptic number.

1006665120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006665120 is an abundant number, since it is smaller than the sum of its proper divisors (2428584516).

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

1006665120 is a wasteful number, since it uses less digits than its factorization.

1006665120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699094 (or 699083 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1006665120 is about 31727.9863842633. The cubic root of 1006665120 is about 1002.2167888825.

The spelling of 1006665120 in words is "one billion, six million, six hundred sixty-five thousand, one hundred twenty".