1564120360 has 128 divisors (see below), whose sum is σ = 4127034240. Its totient is φ = 527155200.

The previous prime is 1564120339. The next prime is 1564120367. The reversal of 1564120360 is 630214651.

It is not an unprimeable number, because it can be changed into a prime (1564120367) 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, 499600 + ... + 502720.

It is an arithmetic number, because the mean of its divisors is an integer number (32242455).

Almost surely, 2^1564120360 is an apocalyptic number.

1564120360 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 1564120360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063517120).

1564120360 is an abundant number, since it is smaller than the sum of its proper divisors (2562913880).

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

1564120360 is a wasteful number, since it uses less digits than its factorization.

1564120360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1564120360 is about 39548.9615540029. The cubic root of 1564120360 is about 1160.7981922180.

The spelling of 1564120360 in words is "one billion, five hundred sixty-four million, one hundred twenty thousand, three hundred sixty".