1564485120 has 240 divisors, whose sum is σ = 5911777872. Its totient is φ = 379207680.

The previous prime is 1564485107. The next prime is 1564485121. The reversal of 1564485120 is 215844651.

It is a happy number.

1564485120 is a `hidden beast` number, since 1 + 5 + 644 + 8 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1564485120² = 4895227381402828800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564485121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250354 + ... + 256526.

Almost surely, 2^1564485120 is an apocalyptic number.

1564485120 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 1564485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955888936).

1564485120 is an abundant number, since it is smaller than the sum of its proper divisors (4347292752).

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

1564485120 is a wasteful number, since it uses less digits than its factorization.

1564485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6213 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1564485120 is about 39553.5727842631. The cubic root of 1564485120 is about 1160.8884196817. Note that the first 3 decimals are identical.

It can be divided in two parts, 1564 and 485120, that added together give a palindrome (486684).

The spelling of 1564485120 in words is "one billion, five hundred sixty-four million, four hundred eighty-five thousand, one hundred twenty".