652320 has 96 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 172800.

The previous prime is 652319. The next prime is 652321. The reversal of 652320 is 23256.

It is an interprime number because it is at equal distance from previous prime (652319) and next prime (652321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 652293 and 652302.

It is not an unprimeable number, because it can be changed into a prime (652321) 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, 4245 + ... + 4395.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁶⁵²³²⁰ is an apocalyptic number.

652320 is a gapful number since it is divisible by the number (60) 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 652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

652320 is an abundant number, since it is smaller than the sum of its proper divisors (1645920).

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

652320 is a wasteful number, since it uses less digits than its factorization.

652320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 652320 is about 807.6632961823. The cubic root of 652320 is about 86.7268484037.

Adding to 652320 its reverse (23256), we get a palindrome (675576).

It can be divided in two parts, 6 and 52320, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 652320 in words is "six hundred fifty-two thousand, three hundred twenty".