4672640 has 96 divisors (see below), whose sum is σ = 13081500. Its totient is φ = 1591296.

The previous prime is 4672631. The next prime is 4672649. The reversal of 4672640 is 462764.

It is an interprime number because it is at equal distance from previous prime (4672631) and next prime (4672649).

It can be written as a sum of positive squares in 2 ways, for example, as 4293184 + 379456 = 2072^2 + 616^2 .

It is not an unprimeable number, because it can be changed into a prime (4672649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31286 + ... + 31434.

Almost surely, 2^4672640 is an apocalyptic number.

4672640 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 4672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540750).

4672640 is an abundant number, since it is smaller than the sum of its proper divisors (8408860).

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

4672640 is a wasteful number, since it uses less digits than its factorization.

4672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 4672640 is about 2161.6290153493. The cubic root of 4672640 is about 167.1812010030.

The spelling of 4672640 in words is "four million, six hundred seventy-two thousand, six hundred forty".