4282640 has 80 divisors (see below), whose sum is σ = 10927872. Its totient is φ = 1554432.

The previous prime is 4282631. The next prime is 4282651. The reversal of 4282640 is 462824.

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

It is a d-powerful number, because it can be written as 4⁵ + 2¹⁶ + 8⁴ + 2²² + 6⁴ + 4⁷ + 0 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63887 + ... + 63953.

Almost surely, 2^4282640 is an apocalyptic number.

4282640 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 4282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463936).

4282640 is an abundant number, since it is smaller than the sum of its proper divisors (6645232).

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

4282640 is a wasteful number, since it uses less digits than its factorization.

4282640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 4282640 is about 2069.4540342805. The cubic root of 4282640 is about 162.3942033247.

The spelling of 4282640 in words is "four million, two hundred eighty-two thousand, six hundred forty".