4148640 has 144 divisors (see below), whose sum is σ = 14702688. Its totient is φ = 1064448.

The previous prime is 4148633. The next prime is 4148647. The reversal of 4148640 is 468414.

4148640 is a `hidden beast` number, since 4 + 14 + 8 + 640 = 666.

4148640 is a nontrivial binomial coefficient, being equal to C(2881, 2).

It is an interprime number because it is at equal distance from previous prime (4148633) and next prime (4148647).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4148640² = 34422427699200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4148647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61887 + ... + 61953.

It is an arithmetic number, because the mean of its divisors is an integer number (102102).

Almost surely, 2^4148640 is an apocalyptic number.

4148640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4148640 is the 2880-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351344).

4148640 is an abundant number, since it is smaller than the sum of its proper divisors (10554048).

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

4148640 is a wasteful number, since it uses less digits than its factorization.

4148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4148640 is about 2036.8210525228. The cubic root of 4148640 is about 160.6825012276.

The spelling of 4148640 in words is "four million, one hundred forty-eight thousand, six hundred forty".