1057167648 has 36 divisors (see below), whose sum is σ = 3006321318. Its totient is φ = 352389120.

The previous prime is 1057167641. The next prime is 1057167667. The reversal of 1057167648 is 8467617501.

1057167648 is a `hidden beast` number, since 1 + 0 + 571 + 6 + 76 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 702674064 + 354493584 = 26508^2 + 18828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1057167648² = 2235206871955703808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057167641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1835073 + ... + 1835648.

Almost surely, 2^1057167648 is an apocalyptic number.

1057167648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1057167648 is an abundant number, since it is smaller than the sum of its proper divisors (1949153670).

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

1057167648 is a wasteful number, since it uses less digits than its factorization.

1057167648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670737 (or 3670726 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1057167648 is about 32514.1145965871. The cubic root of 1057167648 is about 1018.7038669413.

The spelling of 1057167648 in words is "one billion, fifty-seven million, one hundred sixty-seven thousand, six hundred forty-eight".