1577314640 has 160 divisors (see below), whose sum is σ = 4357756800. Its totient is φ = 524482560.

The previous prime is 1577314633. The next prime is 1577314643. The reversal of 1577314640 is 464137751.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1577314594 and 1577314603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1577314643) 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, 483254 + ... + 486506.

It is an arithmetic number, because the mean of its divisors is an integer number (27235980).

Almost surely, 2^1577314640 is an apocalyptic number.

1577314640 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 1577314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178878400).

1577314640 is an abundant number, since it is smaller than the sum of its proper divisors (2780442160).

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

1577314640 is a wasteful number, since it uses less digits than its factorization.

1577314640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 1577314640 is about 39715.4206826517. The cubic root of 1577314640 is about 1164.0530634005.

The spelling of 1577314640 in words is "one billion, five hundred seventy-seven million, three hundred fourteen thousand, six hundred forty".