1007575842 has 64 divisors (see below), whose sum is σ = 2488679424. Its totient is φ = 264824640.

The previous prime is 1007575837. The next prime is 1007575843. The reversal of 1007575842 is 2485757001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1007575842.

It is not an unprimeable number, because it can be changed into a prime (1007575843) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 164617 + ... + 170627.

It is an arithmetic number, because the mean of its divisors is an integer number (38885616).

Almost surely, 2^1007575842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007575842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244339712).

1007575842 is an abundant number, since it is smaller than the sum of its proper divisors (1481103582).

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

1007575842 is a wasteful number, since it uses less digits than its factorization.

1007575842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343.

The product of its (nonzero) digits is 78400, while the sum is 39.

The square root of 1007575842 is about 31742.3351692972. The cubic root of 1007575842 is about 1002.5189303291.

The spelling of 1007575842 in words is "one billion, seven million, five hundred seventy-five thousand, eight hundred forty-two".