4993632 has 72 divisors (see below), whose sum is σ = 16235856. Its totient is φ = 1426176.

The previous prime is 4993627. The next prime is 4993661. The reversal of 4993632 is 2363994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a d-powerful number, because it can be written as 4 + 9 + 9³ + 3¹¹ + 6 + 3¹⁴ + 2¹⁵ .

It is a congruent number.

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, 778 + ... + 3254.

It is an arithmetic number, because the mean of its divisors is an integer number (225498).

Almost surely, 2^4993632 is an apocalyptic number.

4993632 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 4993632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8117928).

4993632 is an abundant number, since it is smaller than the sum of its proper divisors (11242224).

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

4993632 is a wasteful number, since it uses less digits than its factorization.

4993632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2489 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 4993632 is about 2234.6435957441. The cubic root of 4993632 is about 170.9249696483.

It can be divided in two parts, 4993 and 632, that added together give a square (5625 = 75²).

The spelling of 4993632 in words is "four million, nine hundred ninety-three thousand, six hundred thirty-two".