1006149620 has 48 divisors (see below), whose sum is σ = 2417627520. Its totient is φ = 344555904.

The previous prime is 1006149619. The next prime is 1006149643. The reversal of 1006149620 is 269416001.

It is a super-2 number, since 2×1006149620² = 2024674115652288800, which contains 22 as substring.

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, 128786 + ... + 136374.

It is an arithmetic number, because the mean of its divisors is an integer number (50367240).

Almost surely, 2^1006149620 is an apocalyptic number.

1006149620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006149620 is an abundant number, since it is smaller than the sum of its proper divisors (1411477900).

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

1006149620 is a wasteful number, since it uses less digits than its factorization.

1006149620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552 (or 8550 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1006149620 is about 31719.8616012113. The cubic root of 1006149620 is about 1002.0456856499.

The spelling of 1006149620 in words is "one billion, six million, one hundred forty-nine thousand, six hundred twenty".