1566400506 has 32 divisors (see below), whose sum is σ = 3420707328. Its totient is φ = 474235440.

The previous prime is 1566400501. The next prime is 1566400529. The reversal of 1566400506 is 6050046651.

It is a super-3 number, since 3×1566400506³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1566400501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66555 + ... + 86961.

It is an arithmetic number, because the mean of its divisors is an integer number (106897104).

Almost surely, 2^1566400506 is an apocalyptic number.

1566400506 is an abundant number, since it is smaller than the sum of its proper divisors (1854306822).

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

1566400506 is a wasteful number, since it uses less digits than its factorization.

1566400506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21586.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1566400506 is about 39577.7779315615. Note that the first 3 decimals coincide. The cubic root of 1566400506 is about 1161.3619817908.

The spelling of 1566400506 in words is "one billion, five hundred sixty-six million, four hundred thousand, five hundred six".