652164240 has 240 divisors, whose sum is σ = 2503018368. Its totient is φ = 137539584.

The previous prime is 652164239. The next prime is 652164263. The reversal of 652164240 is 42461256.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 652164198 and 652164207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282772 + ... + 285068.

Almost surely, 2^652164240 is an apocalyptic number.

652164240 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 652164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251509184).

652164240 is an abundant number, since it is smaller than the sum of its proper divisors (1850854128).

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

652164240 is a wasteful number, since it uses less digits than its factorization.

652164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 652164240 is about 25537.5065345072. The cubic root of 652164240 is about 867.1994501819.

The spelling of 652164240 in words is "six hundred fifty-two million, one hundred sixty-four thousand, two hundred forty".