653321280 has 224 divisors, whose sum is σ = 2217968640. Its totient is φ = 162570240.

The previous prime is 653321269. The next prime is 653321293. The reversal of 653321280 is 82123356.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862662 + ... + 863418.

Almost surely, 2^653321280 is an apocalyptic number.

653321280 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 653321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108984320).

653321280 is an abundant number, since it is smaller than the sum of its proper divisors (1564647360).

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

653321280 is a wasteful number, since it uses less digits than its factorization.

653321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 653321280 is about 25560.1502343003. The cubic root of 653321280 is about 867.7119957383.

The spelling of 653321280 in words is "six hundred fifty-three million, three hundred twenty-one thousand, two hundred eighty".