4292640 has 144 divisors (see below), whose sum is σ = 16039296. Its totient is φ = 1036800.

The previous prime is 4292627. The next prime is 4292681. The reversal of 4292640 is 462924.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15705 + ... + 15975.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

Almost surely, 2^4292640 is an apocalyptic number.

4292640 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 4292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019648).

4292640 is an abundant number, since it is smaller than the sum of its proper divisors (11746656).

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

4292640 is a wasteful number, since it uses less digits than its factorization.

4292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4292640 is about 2071.8687217099. The cubic root of 4292640 is about 162.5205023441.

The spelling of 4292640 in words is "four million, two hundred ninety-two thousand, six hundred forty".