4640688 has 120 divisors (see below), whose sum is σ = 14578928. Its totient is φ = 1368576.

The previous prime is 4640599. The next prime is 4640717. The reversal of 4640688 is 8860464.

4640688 is a `hidden beast` number, since 4 + 640 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×4640688² = 43071970226688, which contains 22 as substring.

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

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, 69231 + ... + 69297.

Almost surely, 2^4640688 is an apocalyptic number.

4640688 is a gapful number since it is divisible by the number (48) 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 4640688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7289464).

4640688 is an abundant number, since it is smaller than the sum of its proper divisors (9938240).

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

4640688 is a wasteful number, since it uses less digits than its factorization.

4640688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4640688 is about 2154.2256149252. The cubic root of 4640688 is about 166.7992615946.

The spelling of 4640688 in words is "four million, six hundred forty thousand, six hundred eighty-eight".