653049760 has 192 divisors, whose sum is σ = 1807142400. Its totient is φ = 220492800.

The previous prime is 653049731. The next prime is 653049791. The reversal of 653049760 is 67940356.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 1972795 + ... + 1973125.

It is an arithmetic number, because the mean of its divisors is an integer number (9412200).

Almost surely, 2^653049760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903571200).

653049760 is an abundant number, since it is smaller than the sum of its proper divisors (1154092640).

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

653049760 is a wasteful number, since it uses less digits than its factorization.

653049760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 653049760 is about 25554.8382894512. The cubic root of 653049760 is about 867.5917721901.

The spelling of 653049760 in words is "six hundred fifty-three million, forty-nine thousand, seven hundred sixty".