4188640 has 48 divisors (see below), whose sum is σ = 10124352. Its totient is φ = 1636864.

The previous prime is 4188631. The next prime is 4188649. The reversal of 4188640 is 468814.

It is an interprime number because it is at equal distance from previous prime (4188631) and next prime (4188649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4188649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7242 + ... + 7798.

It is an arithmetic number, because the mean of its divisors is an integer number (210924).

Almost surely, 2^4188640 is an apocalyptic number.

4188640 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 4188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062176).

4188640 is an abundant number, since it is smaller than the sum of its proper divisors (5935712).

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

4188640 is a wasteful number, since it uses less digits than its factorization.

4188640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 4188640 is about 2046.6167203460. The cubic root of 4188640 is about 161.1972685780.

The spelling of 4188640 in words is "four million, one hundred eighty-eight thousand, six hundred forty".