1566825120 has 672 divisors, whose sum is σ = 6742673280. Its totient is φ = 335923200.

The previous prime is 1566825049. The next prime is 1566825121. The reversal of 1566825120 is 215286651.

1566825120 is a `hidden beast` number, since 1 + 5 + 66 + 82 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1566825121) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15513070 + ... + 15513170.

It is an arithmetic number, because the mean of its divisors is an integer number (10033740).

Almost surely, 2^1566825120 is an apocalyptic number.

1566825120 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 1566825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371336640).

1566825120 is an abundant number, since it is smaller than the sum of its proper divisors (5175848160).

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

1566825120 is a wasteful number, since it uses less digits than its factorization.

1566825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1566825120 is about 39583.1418662036. The cubic root of 1566825120 is about 1161.4669115331.

The spelling of 1566825120 in words is "one billion, five hundred sixty-six million, eight hundred twenty-five thousand, one hundred twenty".