4185840 has 80 divisors (see below), whose sum is σ = 13177728. Its totient is φ = 1099008.

The previous prime is 4185829. The next prime is 4185851. The reversal of 4185840 is 485814.

It is an interprime number because it is at equal distance from previous prime (4185829) and next prime (4185851).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4185798 and 4185807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25599 + ... + 25761.

Almost surely, 2^4185840 is an apocalyptic number.

4185840 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 4185840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588864).

4185840 is an abundant number, since it is smaller than the sum of its proper divisors (8991888).

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

4185840 is a wasteful number, since it uses less digits than its factorization.

4185840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 4185840 is about 2045.9325502079. The cubic root of 4185840 is about 161.1613418045.

The spelling of 4185840 in words is "four million, one hundred eighty-five thousand, eight hundred forty".