653533920 has 336 divisors, whose sum is σ = 2498755392. Its totient is φ = 160496640.

The previous prime is 653533883. The next prime is 653533921. The reversal of 653533920 is 29335356.

653533920 is a `hidden beast` number, since 6 + 535 + 33 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653533921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1516105 + ... + 1516535.

It is an arithmetic number, because the mean of its divisors is an integer number (7436772).

Almost surely, 2^653533920 is an apocalyptic number.

653533920 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 653533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249377696).

653533920 is an abundant number, since it is smaller than the sum of its proper divisors (1845221472).

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

653533920 is a wasteful number, since it uses less digits than its factorization.

653533920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The square root of 653533920 is about 25564.3094958577. The cubic root of 653533920 is about 867.8061251608.

The spelling of 653533920 in words is "six hundred fifty-three million, five hundred thirty-three thousand, nine hundred twenty".