4166840 has 32 divisors (see below), whose sum is σ = 9510480. Its totient is φ = 1642752.

The previous prime is 4166837. The next prime is 4166843. The reversal of 4166840 is 486614.

It is an interprime number because it is at equal distance from previous prime (4166837) and next prime (4166843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166843) 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 7 ways as a sum of consecutive naturals, for example, 2207 + ... + 3633.

Almost surely, 2^4166840 is an apocalyptic number.

4166840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4166840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755240).

4166840 is an abundant number, since it is smaller than the sum of its proper divisors (5343640).

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

4166840 is a wasteful number, since it uses less digits than its factorization.

4166840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4166840 is about 2041.2839097000. The cubic root of 4166840 is about 160.9171287566.

The spelling of 4166840 in words is "four million, one hundred sixty-six thousand, eight hundred forty".