4596840 has 72 divisors (see below), whose sum is σ = 15073110. Its totient is φ = 1214976.

The previous prime is 4596833. The next prime is 4596847. The reversal of 4596840 is 486954.

It is an interprime number because it is at equal distance from previous prime (4596833) and next prime (4596847).

It can be written as a sum of positive squares in 3 ways, for example, as 887364 + 3709476 = 942^2 + 1926^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4596840² = 42261875971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4596795 and 4596804.

It is not an unprimeable number, because it can be changed into a prime (4596847) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40624 + ... + 40736.

Almost surely, 2^4596840 is an apocalyptic number.

4596840 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 4596840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7536555).

4596840 is an abundant number, since it is smaller than the sum of its proper divisors (10476270).

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

4596840 is a wasteful number, since it uses less digits than its factorization.

4596840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4596840 is about 2144.0242535942. The cubic root of 4596840 is about 166.2722585005.

The spelling of 4596840 in words is "four million, five hundred ninety-six thousand, eight hundred forty".