1008057348 has 18 divisors (see below), whose sum is σ = 2548145054. Its totient is φ = 336019104.

The previous prime is 1008057319. The next prime is 1008057359. The reversal of 1008057348 is 8437508001.

1008057348 is a `hidden beast` number, since 1 + 0 + 0 + 80 + 573 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 686859264 + 321198084 = 26208^2 + 17922^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 28001593 = 1008057348 / (1 + 0 + 0 + 8 + 0 + 5 + 7 + 3 + 4 + 8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14000761 + ... + 14000832.

Almost surely, 2^1008057348 is an apocalyptic number.

1008057348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1008057348 is an abundant number, since it is smaller than the sum of its proper divisors (1540087706).

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

1008057348 is a wasteful number, since it uses less digits than its factorization.

1008057348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28001603 (or 28001598 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1008057348 is about 31749.9188660381. The cubic root of 1008057348 is about 1002.6786013552.

The spelling of 1008057348 in words is "one billion, eight million, fifty-seven thousand, three hundred forty-eight".