4392640 has 112 divisors (see below), whose sum is σ = 12508992. Its totient is φ = 1437696.

The previous prime is 4392611. The next prime is 4392653. The reversal of 4392640 is 462934.

4392640 = T₂₂₄ + T₂₂₅ + ... + T₃₃₄.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4392599 and 4392608.

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, 82854 + ... + 82906.

Almost surely, 2^4392640 is an apocalyptic number.

4392640 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 4392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254496).

4392640 is an abundant number, since it is smaller than the sum of its proper divisors (8116352).

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

4392640 is a wasteful number, since it uses less digits than its factorization.

4392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 4392640 is about 2095.8625909157. The cubic root of 4392640 is about 163.7728363932.

The spelling of 4392640 in words is "four million, three hundred ninety-two thousand, six hundred forty".