1006562400 has 72 divisors (see below), whose sum is σ = 3276368424. Its totient is φ = 268416000.

The previous prime is 1006562399. The next prime is 1006562413. The reversal of 1006562400 is 42656001.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207301 + ... + 212100.

It is an arithmetic number, because the mean of its divisors is an integer number (45505117).

Almost surely, 2^1006562400 is an apocalyptic number.

1006562400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006562400 is an abundant number, since it is smaller than the sum of its proper divisors (2269806024).

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

1006562400 is a wasteful number, since it uses less digits than its factorization.

1006562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419424 (or 419411 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1006562400 is about 31726.3675828167. The cubic root of 1006562400 is about 1002.1826990254.

The spelling of 1006562400 in words is "one billion, six million, five hundred sixty-two thousand, four hundred".