1006187820 has 96 divisors (see below), whose sum is σ = 3081044736. Its totient is φ = 243321600.

The previous prime is 1006187761. The next prime is 1006187827. The reversal of 1006187820 is 287816001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1006187827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302607 + ... + 305913.

It is an arithmetic number, because the mean of its divisors is an integer number (32094216).

Almost surely, 2^1006187820 is an apocalyptic number.

1006187820 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 1006187820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540522368).

1006187820 is an abundant number, since it is smaller than the sum of its proper divisors (2074856916).

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

1006187820 is a wasteful number, since it uses less digits than its factorization.

1006187820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1006187820 is about 31720.4637418812. The cubic root of 1006187820 is about 1002.0583668854.

The spelling of 1006187820 in words is "one billion, six million, one hundred eighty-seven thousand, eight hundred twenty".