1008142560 has 72 divisors (see below), whose sum is σ = 3440291400. Its totient is φ = 268837632.

The previous prime is 1008142543. The next prime is 1008142567. The reversal of 1008142560 is 652418001.

1008142560 is a `hidden beast` number, since 100 + 81 + 425 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008142567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348610 + ... + 351489.

It is an arithmetic number, because the mean of its divisors is an integer number (47781825).

Almost surely, 2^1008142560 is an apocalyptic number.

1008142560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008142560 is an abundant number, since it is smaller than the sum of its proper divisors (2432148840).

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

1008142560 is a wasteful number, since it uses less digits than its factorization.

1008142560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700120 (or 700109 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1008142560 is about 31751.2607623697. The cubic root of 1008142560 is about 1002.7068530024.

The spelling of 1008142560 in words is "one billion, eight million, one hundred forty-two thousand, five hundred sixty".