1006387200 has 720 divisors, whose sum is σ = 4550680960. Its totient is φ = 212336640.

The previous prime is 1006387177. The next prime is 1006387223. The reversal of 1006387200 is 27836001.

1006387200 is a `hidden beast` number, since 1 + 0 + 0 + 638 + 7 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1006387177) and next prime (1006387223).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77414394 + ... + 77414406.

Almost surely, 2^1006387200 is an apocalyptic number.

1006387200 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 1006387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275340480).

1006387200 is an abundant number, since it is smaller than the sum of its proper divisors (3544293760).

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

1006387200 is an equidigital number, since it uses as much as digits as its factorization.

1006387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1006387200 is about 31723.6063523679. The cubic root of 1006387200 is about 1002.1245497585.

The spelling of 1006387200 in words is "one billion, six million, three hundred eighty-seven thousand, two hundred".