1007072690 has 48 divisors (see below), whose sum is σ = 2078421768. Its totient is φ = 349959168.

The previous prime is 1007072621. The next prime is 1007072701. The reversal of 1007072690 is 962707001.

1007072690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 10975969 + 996096721 = 3313^2 + 31561^2 .

It is a super-2 number, since 2×1007072690² = 2028390805887672200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11204 + ... + 46256.

Almost surely, 2^1007072690 is an apocalyptic number.

1007072690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1007072690 is an abundant number, since it is smaller than the sum of its proper divisors (1071349078).

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

1007072690 is a wasteful number, since it uses less digits than its factorization.

1007072690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35103 (or 35090 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 1007072690 is about 31734.4086127345. The cubic root of 1007072690 is about 1002.3520269653.

Adding to 1007072690 its reverse (962707001), we get a palindrome (1969779691).

The spelling of 1007072690 in words is "one billion, seven million, seventy-two thousand, six hundred ninety".