4190640 has 80 divisors (see below), whose sum is σ = 13689600. Its totient is φ = 1057536.

The previous prime is 4190629. The next prime is 4190663. The reversal of 4190640 is 460914.

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

It is a super-2 number, since 2×4190640² = 35122927219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4190640.

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, 4101 + ... + 5019.

It is an arithmetic number, because the mean of its divisors is an integer number (171120).

Almost surely, 2^4190640 is an apocalyptic number.

4190640 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 4190640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844800).

4190640 is an abundant number, since it is smaller than the sum of its proper divisors (9498960).

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

4190640 is a wasteful number, since it uses less digits than its factorization.

4190640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4190640 is about 2047.1052733067. The cubic root of 4190640 is about 161.2229207577. Note that the first 3 decimals are identical.

The spelling of 4190640 in words is "four million, one hundred ninety thousand, six hundred forty".