653487840 has 144 divisors (see below), whose sum is σ = 2255526000. Its totient is φ = 172271616.

The previous prime is 653487833. The next prime is 653487893. The reversal of 653487840 is 48784356.

653487840 is a `hidden beast` number, since 6 + 534 + 8 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125611 + ... + 130709.

It is an arithmetic number, because the mean of its divisors is an integer number (15663375).

Almost surely, 2^653487840 is an apocalyptic number.

653487840 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 653487840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127763000).

653487840 is an abundant number, since it is smaller than the sum of its proper divisors (1602038160).

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

653487840 is a wasteful number, since it uses less digits than its factorization.

653487840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 653487840 is about 25563.4082234744. The cubic root of 653487840 is about 867.7857286444.

The spelling of 653487840 in words is "six hundred fifty-three million, four hundred eighty-seven thousand, eight hundred forty".