4153632 has 72 divisors (see below), whose sum is σ = 12697776. Its totient is φ = 1185408.

The previous prime is 4153613. The next prime is 4153649. The reversal of 4153632 is 2363514.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4263 + ... + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (176358).

Almost surely, 2^4153632 is an apocalyptic number.

4153632 is a gapful number since it is divisible by the number (42) 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 4153632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348888).

4153632 is an abundant number, since it is smaller than the sum of its proper divisors (8544144).

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

4153632 is a wasteful number, since it uses less digits than its factorization.

4153632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 895 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 4153632 is about 2038.0461231287. The cubic root of 4153632 is about 160.7469243905.

It can be divided in two parts, 41 and 53632, that multiplied together give a palindrome (2198912).

The spelling of 4153632 in words is "four million, one hundred fifty-three thousand, six hundred thirty-two".