8007090 has 96 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 1685376.

The previous prime is 8007089. The next prime is 8007091. The reversal of 8007090 is 907008.

It is an interprime number because it is at equal distance from previous prime (8007089) and next prime (8007091).

It is a super-2 number, since 2×8007090² = 128226980536200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8007090.

It is not an unprimeable number, because it can be changed into a prime (8007091) 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 47 ways as a sum of consecutive naturals, for example, 18901 + ... + 19319.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 2^8007090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8007090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

8007090 is an abundant number, since it is smaller than the sum of its proper divisors (16124430).

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

8007090 is a wasteful number, since it uses less digits than its factorization.

8007090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 8007090 is about 2829.6801939442. The cubic root of 8007090 is about 200.0590658877.

The spelling of 8007090 in words is "eight million, seven thousand, ninety".