1564609152 has 64 divisors (see below), whose sum is σ = 4163607360. Its totient is φ = 520581120.

The previous prime is 1564609133. The next prime is 1564609177. The reversal of 1564609152 is 2519064651.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1564609152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224277 + ... + 231147.

It is an arithmetic number, because the mean of its divisors is an integer number (65056365).

Almost surely, 2^1564609152 is an apocalyptic number.

1564609152 is a gapful number since it is divisible by the number (12) 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 1564609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081803680).

1564609152 is an abundant number, since it is smaller than the sum of its proper divisors (2598998208).

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

1564609152 is an equidigital number, since it uses as much as digits as its factorization.

1564609152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7481 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 1564609152 is about 39555.1406520063. The cubic root of 1564609152 is about 1160.9190971883.

The spelling of 1564609152 in words is "one billion, five hundred sixty-four million, six hundred nine thousand, one hundred fifty-two".