1007242590 has 16 divisors (see below), whose sum is σ = 2417382288. Its totient is φ = 268598016.

The previous prime is 1007242583. The next prime is 1007242597. The reversal of 1007242590 is 952427001.

1007242590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1007242583) and next prime (1007242597).

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 33574753 = 1007242590 / (1 + 0 + 0 + 7 + 2 + 4 + 2 + 5 + 9 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007242597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16787347 + ... + 16787406.

It is an arithmetic number, because the mean of its divisors is an integer number (151086393).

Almost surely, 2^1007242590 is an apocalyptic number.

1007242590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1007242590 is an abundant number, since it is smaller than the sum of its proper divisors (1410139698).

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

1007242590 is a wasteful number, since it uses less digits than its factorization.

1007242590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33574763.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1007242590 is about 31737.0854049328. The cubic root of 1007242590 is about 1002.4083916598.

Adding to 1007242590 its reverse (952427001), we get a palindrome (1959669591).

The spelling of 1007242590 in words is "one billion, seven million, two hundred forty-two thousand, five hundred ninety".