4960032 has 144 divisors (see below), whose sum is σ = 16623936. Its totient is φ = 1267200.

The previous prime is 4960027. The next prime is 4960037. The reversal of 4960032 is 2300694.

4960032 = 249² + 250² + ... + 311².

It is an interprime number because it is at equal distance from previous prime (4960027) and next prime (4960037).

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

It is a junction number, because it is equal to n+sod(n) for n = 4959984 and 4960011.

It is not an unprimeable number, because it can be changed into a prime (4960037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81282 + ... + 81342.

It is an arithmetic number, because the mean of its divisors is an integer number (115444).

Almost surely, 2^4960032 is an apocalyptic number.

4960032 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 4960032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311968).

4960032 is an abundant number, since it is smaller than the sum of its proper divisors (11663904).

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

4960032 is a wasteful number, since it uses less digits than its factorization.

4960032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

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

The square root of 4960032 is about 2227.1129293325. The cubic root of 4960032 is about 170.5407464183.

The spelling of 4960032 in words is "four million, nine hundred sixty thousand, thirty-two".