4632936 has 128 divisors (see below), whose sum is σ = 15206400. Its totient is φ = 1140480.

The previous prime is 4632917. The next prime is 4632973. The reversal of 4632936 is 6392364.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4632897 and 4632906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42450 + ... + 42558.

It is an arithmetic number, because the mean of its divisors is an integer number (118800).

Almost surely, 2^4632936 is an apocalyptic number.

4632936 is a gapful number since it is divisible by the number (46) 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 4632936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603200).

4632936 is an abundant number, since it is smaller than the sum of its proper divisors (10573464).

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

4632936 is a wasteful number, since it uses less digits than its factorization.

4632936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 4632936 is about 2152.4256084706. The cubic root of 4632936 is about 166.7063336695.

The spelling of 4632936 in words is "four million, six hundred thirty-two thousand, nine hundred thirty-six".