4536960 has 128 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 1130496.

The previous prime is 4536947. The next prime is 4536967. The reversal of 4536960 is 696354.

4536960 = 706² + 707² + ... + 714².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4536967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32571 + ... + 32709.

Almost surely, 2^4536960 is an apocalyptic number.

4536960 is a gapful number since it is divisible by the number (40) 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 4536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

4536960 is an abundant number, since it is smaller than the sum of its proper divisors (10885440).

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

4536960 is a wasteful number, since it uses less digits than its factorization.

4536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 4536960 is about 2130.0140844605. The cubic root of 4536960 is about 165.5471277451.

Subtracting from 4536960 its reverse (696354), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4536960 in words is "four million, five hundred thirty-six thousand, nine hundred sixty".