652962240 has 336 divisors, whose sum is σ = 2623108800. Its totient is φ = 149022720.

The previous prime is 652962223. The next prime is 652962259. The reversal of 652962240 is 42269256.

652962240 is a `hidden beast` number, since 6 + 5 + 29 + 622 + 4 + 0 = 666.

652962240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 652962195 and 652962204.

It is a congruent number.

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, 987510 + ... + 988170.

Almost surely, 2^652962240 is an apocalyptic number.

652962240 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 652962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311554400).

652962240 is an abundant number, since it is smaller than the sum of its proper divisors (1970146560).

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

652962240 is a wasteful number, since it uses less digits than its factorization.

652962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 652962240 is about 25553.1258361869. The cubic root of 652962240 is about 867.5530130077.

The spelling of 652962240 in words is "six hundred fifty-two million, nine hundred sixty-two thousand, two hundred forty".