653105040 has 160 divisors (see below), whose sum is σ = 2352158976. Its totient is φ = 146810880.

The previous prime is 653105017. The next prime is 653105059. The reversal of 653105040 is 40501356.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 653105040.

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, 99294 + ... + 105666.

Almost surely, 2^653105040 is an apocalyptic number.

653105040 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 653105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176079488).

653105040 is an abundant number, since it is smaller than the sum of its proper divisors (1699053936).

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

653105040 is a wasteful number, since it uses less digits than its factorization.

653105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6457 (or 6451 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 653105040 is about 25555.9198621376. The cubic root of 653105040 is about 867.6162517539.

Adding to 653105040 its reverse (40501356), we get a palindrome (693606396).

The spelling of 653105040 in words is "six hundred fifty-three million, one hundred five thousand, forty".