1577881560 has 128 divisors (see below), whose sum is σ = 4872130560. Its totient is φ = 408576000.

The previous prime is 1577881559. The next prime is 1577881567. The reversal of 1577881560 is 651887751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1577881567) 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, 984760 + ... + 986360.

It is an arithmetic number, because the mean of its divisors is an integer number (38063520).

Almost surely, 2^1577881560 is an apocalyptic number.

1577881560 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 1577881560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436065280).

1577881560 is an abundant number, since it is smaller than the sum of its proper divisors (3294249000).

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

1577881560 is a wasteful number, since it uses less digits than its factorization.

1577881560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 48.

The square root of 1577881560 is about 39722.5573194879. The cubic root of 1577881560 is about 1164.1925083995.

The spelling of 1577881560 in words is "one billion, five hundred seventy-seven million, eight hundred eighty-one thousand, five hundred sixty".