1006055934 has 32 divisors (see below), whose sum is σ = 2174334624. Its totient is φ = 308492160.

The previous prime is 1006055933. The next prime is 1006055969. The reversal of 1006055934 is 4395506001.

It is a happy number.

It is a super-2 number, since 2×1006055934² = 2024297084673224712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006055895 and 1006055904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006055933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844 + ... + 44864.

It is an arithmetic number, because the mean of its divisors is an integer number (67947957).

Almost surely, 2^1006055934 is an apocalyptic number.

1006055934 is an abundant number, since it is smaller than the sum of its proper divisors (1168278690).

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

1006055934 is a wasteful number, since it uses less digits than its factorization.

1006055934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44332.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 1006055934 is about 31718.3847949419. The cubic root of 1006055934 is about 1002.0145833950.

The spelling of 1006055934 in words is "one billion, six million, fifty-five thousand, nine hundred thirty-four".