1006134720 has 112 divisors (see below), whose sum is σ = 3204606240. Its totient is φ = 267452416.

The previous prime is 1006134719. The next prime is 1006134733. The reversal of 1006134720 is 274316001.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 337396 + ... + 340364.

Almost surely, 2^1006134720 is an apocalyptic number.

1006134720 is a gapful number since it is divisible by the number (10) 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 1006134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602303120).

1006134720 is an abundant number, since it is smaller than the sum of its proper divisors (2198471520).

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

1006134720 is a wasteful number, since it uses less digits than its factorization.

1006134720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1006134720 is about 31719.6267317256. The cubic root of 1006134720 is about 1002.0407392171.

The spelling of 1006134720 in words is "one billion, six million, one hundred thirty-four thousand, seven hundred twenty".