1957270560 has 768 divisors, whose sum is σ = 8174960640. Its totient is φ = 383201280.

The previous prime is 1957270547. The next prime is 1957270573. The reversal of 1957270560 is 650727591.

1957270560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1957270547) and next prime (1957270573).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45517899 + ... + 45517941.

It is an arithmetic number, because the mean of its divisors is an integer number (10644480).

Almost surely, 2^1957270560 is an apocalyptic number.

1957270560 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 1957270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087480320).

1957270560 is an abundant number, since it is smaller than the sum of its proper divisors (6217690080).

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

1957270560 is a wasteful number, since it uses less digits than its factorization.

1957270560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 1957270560 is about 44241.0506204362. The cubic root of 1957270560 is about 1250.8837611591.

The spelling of 1957270560 in words is "one billion, nine hundred fifty-seven million, two hundred seventy thousand, five hundred sixty".