1007948634 has 48 divisors (see below), whose sum is σ = 2532379584. Its totient is φ = 261803520.

The previous prime is 1007948629. The next prime is 1007948639. The reversal of 1007948634 is 4368497001.

It is an interprime number because it is at equal distance from previous prime (1007948629) and next prime (1007948639).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1007948639) 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 23 ways as a sum of consecutive naturals, for example, 94087 + ... + 104250.

It is an arithmetic number, because the mean of its divisors is an integer number (52757908).

Almost surely, 2^1007948634 is an apocalyptic number.

1007948634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1007948634 is an abundant number, since it is smaller than the sum of its proper divisors (1524430950).

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

1007948634 is a wasteful number, since it uses less digits than its factorization.

1007948634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198371 (or 198360 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1007948634 is about 31748.2067840059. The cubic root of 1007948634 is about 1002.6425554165.

The spelling of 1007948634 in words is "one billion, seven million, nine hundred forty-eight thousand, six hundred thirty-four".