4631136 has 48 divisors (see below), whose sum is σ = 12801600. Its totient is φ = 1461888.

The previous prime is 4631131. The next prime is 4631141. The reversal of 4631136 is 6311364.

It is an interprime number because it is at equal distance from previous prime (4631131) and next prime (4631141).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4631131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555 + ... + 3093.

It is an arithmetic number, because the mean of its divisors is an integer number (266700).

Almost surely, 2^4631136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4631136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400800).

4631136 is an abundant number, since it is smaller than the sum of its proper divisors (8170464).

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

4631136 is a wasteful number, since it uses less digits than its factorization.

4631136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2563 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 4631136 is about 2152.0074349314. The cubic root of 4631136 is about 166.6847411509.

The spelling of 4631136 in words is "four million, six hundred thirty-one thousand, one hundred thirty-six".