1564136160 has 96 divisors (see below), whose sum is σ = 5141283840. Its totient is φ = 398965248.

The previous prime is 1564136149. The next prime is 1564136173. The reversal of 1564136160 is 616314651.

1564136160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59800 + ... + 81879.

It is an arithmetic number, because the mean of its divisors is an integer number (53555040).

Almost surely, 2^1564136160 is an apocalyptic number.

1564136160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1564136160 is an abundant number, since it is smaller than the sum of its proper divisors (3577147680).

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

1564136160 is a wasteful number, since it uses less digits than its factorization.

1564136160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141720 (or 141712 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1564136160 is about 39549.1613058988. The cubic root of 1564136160 is about 1160.8021008153.

The spelling of 1564136160 in words is "one billion, five hundred sixty-four million, one hundred thirty-six thousand, one hundred sixty".