4631640 has 64 divisors (see below), whose sum is σ = 14968800. Its totient is φ = 1139712.

The previous prime is 4631639. The next prime is 4631651. The reversal of 4631640 is 461364.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 4631640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76 + ... + 3044.

Almost surely, 2^4631640 is an apocalyptic number.

4631640 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 4631640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7484400).

4631640 is an abundant number, since it is smaller than the sum of its proper divisors (10337160).

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

4631640 is a wasteful number, since it uses less digits than its factorization.

4631640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4631640 is about 2152.1245317128. The cubic root of 4631640 is about 166.6907876200.

The spelling of 4631640 in words is "four million, six hundred thirty-one thousand, six hundred forty".