652861440 has 672 divisors, whose sum is σ = 2944221696. Its totient is φ = 129761280.

The previous prime is 652861439. The next prime is 652861459. The reversal of 652861440 is 44168256.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 652861395 and 652861404.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28385269 + ... + 28385291.

Almost surely, 2^652861440 is an apocalyptic number.

652861440 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 652861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472110848).

652861440 is an abundant number, since it is smaller than the sum of its proper divisors (2291360256).

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

652861440 is a wasteful number, since it uses less digits than its factorization.

652861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 652861440 is about 25551.1533986237. The cubic root of 652861440 is about 867.5083683413.

The spelling of 652861440 in words is "six hundred fifty-two million, eight hundred sixty-one thousand, four hundred forty".