1564160 has 80 divisors (see below), whose sum is σ = 4124736. Its totient is φ = 565248.

The previous prime is 1564159. The next prime is 1564183. The reversal of 1564160 is 614651.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 33257 + ... + 33303.

2^1564160 is an apocalyptic number.

1564160 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 1564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368).

1564160 is an abundant number, since it is smaller than the sum of its proper divisors (2560576).

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

1564160 is an equidigital number, since it uses as much as digits as its factorization.

1564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1564160 is about 1250.6638237352. The cubic root of 1564160 is about 116.0807998295.

The spelling of 1564160 in words is "one million, five hundred sixty-four thousand, one hundred sixty".