1653220368 has 140 divisors (see below), whose sum is σ = 4921031388. Its totient is φ = 537477120.

The previous prime is 1653220363. The next prime is 1653220417. The reversal of 1653220368 is 8630223561.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 1605444624 = 6912^2 + 40068^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1653220363) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 476496 + ... + 479952.

Almost surely, 2^1653220368 is an apocalyptic number.

1653220368 is a gapful number since it is divisible by the number (18) 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 1653220368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460515694).

1653220368 is an abundant number, since it is smaller than the sum of its proper divisors (3267811020).

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

1653220368 is an equidigital number, since it uses as much as digits as its factorization.

1653220368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1653220368 is about 40659.8126901736. The cubic root of 1653220368 is about 1182.4340182527.

The spelling of 1653220368 in words is "one billion, six hundred fifty-three million, two hundred twenty thousand, three hundred sixty-eight".