1006886400 has 240 divisors, whose sum is σ = 3583822704. Its totient is φ = 247726080.

The previous prime is 1006886381. The next prime is 1006886401. The reversal of 1006886400 is 46886001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006886401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498192 + ... + 500208.

Almost surely, 2^1006886400 is an apocalyptic number.

1006886400 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 1006886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791911352).

1006886400 is an abundant number, since it is smaller than the sum of its proper divisors (2576936304).

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

1006886400 is a wasteful number, since it uses less digits than its factorization.

1006886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1006886400 is about 31731.4733348453. The cubic root of 1006886400 is about 1002.2902175660.

The spelling of 1006886400 in words is "one billion, six million, eight hundred eighty-six thousand, four hundred".