1564500 has 96 divisors (see below), whose sum is σ = 5241600. Its totient is φ = 355200.

The previous prime is 1564499. The next prime is 1564501. The reversal of 1564500 is 54651.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1564499) and next prime (1564501).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10426 + ... + 10574.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

2^1564500 is an apocalyptic number.

1564500 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 1564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620800).

1564500 is an abundant number, since it is smaller than the sum of its proper divisors (3677100).

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

1564500 is a wasteful number, since it uses less digits than its factorization.

1564500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1564500 is about 1250.7997441637. The cubic root of 1564500 is about 116.0892100118.

It can be divided in two parts, 156 and 4500, that added together give a triangular number (4656 = T₉₆).

The spelling of 1564500 in words is "one million, five hundred sixty-four thousand, five hundred".