4008690 has 120 divisors (see below), whose sum is σ = 12662892. Its totient is φ = 907200.

The previous prime is 4008689. The next prime is 4008701. The reversal of 4008690 is 968004.

4008690 = T₄₄ + T₄₅ + ... + T₂₈₈.

It can be written as a sum of positive squares in 2 ways, for example, as 3814209 + 194481 = 1953^2 + 441^2 .

It is a super-2 number, since 2×4008690² = 32139191032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 39640 + ... + 39740.

Almost surely, 2^4008690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4008690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331446).

4008690 is an abundant number, since it is smaller than the sum of its proper divisors (8654202).

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

4008690 is a wasteful number, since it uses less digits than its factorization.

4008690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4008690 is about 2002.1713213409. The cubic root of 4008690 is about 158.8549763439.

The spelling of 4008690 in words is "four million, eight thousand, six hundred ninety".