1007024682 has 16 divisors (see below), whose sum is σ = 2132523072. Its totient is φ = 315929280.

The previous prime is 1007024659. The next prime is 1007024687. The reversal of 1007024682 is 2864207001.

1007024682 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1007024682³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1007024687) 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, 4936294 + ... + 4936497.

It is an arithmetic number, because the mean of its divisors is an integer number (133282692).

Almost surely, 2^1007024682 is an apocalyptic number.

1007024682 is an abundant number, since it is smaller than the sum of its proper divisors (1125498390).

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

1007024682 is a wasteful number, since it uses less digits than its factorization.

1007024682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9872813.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1007024682 is about 31733.6522007789. The cubic root of 1007024682 is about 1002.3360990582.

The spelling of 1007024682 in words is "one billion, seven million, twenty-four thousand, six hundred eighty-two".