1007248144 has 20 divisors (see below), whose sum is σ = 2230335424. Its totient is φ = 431677728.

The previous prime is 1007248139. The next prime is 1007248169. The reversal of 1007248144 is 4418427001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4496532 + ... + 4496755.

Almost surely, 2^1007248144 is an apocalyptic number.

1007248144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1007248144 is an abundant number, since it is smaller than the sum of its proper divisors (1223087280).

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

1007248144 is an equidigital number, since it uses as much as digits as its factorization.

1007248144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8993302 (or 8993296 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 1007248144 is about 31737.1729049706. The cubic root of 1007248144 is about 1002.4102341044.

The spelling of 1007248144 in words is "one billion, seven million, two hundred forty-eight thousand, one hundred forty-four".