653425920 has 576 divisors, whose sum is σ = 2758909440. Its totient is φ = 143327232.

The previous prime is 653425909. The next prime is 653425921. The reversal of 653425920 is 29524356.

653425920 is a `hidden beast` number, since 65 + 3 + 4 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (653425921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8951004 + ... + 8951076.

Almost surely, 2^653425920 is an apocalyptic number.

653425920 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 653425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379454720).

653425920 is an abundant number, since it is smaller than the sum of its proper divisors (2105483520).

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

653425920 is a wasteful number, since it uses less digits than its factorization.

653425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 653425920 is about 25562.1970886698. The cubic root of 653425920 is about 867.7583193154.

The spelling of 653425920 in words is "six hundred fifty-three million, four hundred twenty-five thousand, nine hundred twenty".