1653966720 has 768 divisors, whose sum is σ = 7332249600. Its totient is φ = 334430208.

The previous prime is 1653966709. The next prime is 1653966779. The reversal of 1653966720 is 276693561.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13023297 + ... + 13023423.

It is an arithmetic number, because the mean of its divisors is an integer number (9547200).

Almost surely, 2^1653966720 is an apocalyptic number.

1653966720 is a gapful number since it is divisible by the number (10) 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 1653966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666124800).

1653966720 is an abundant number, since it is smaller than the sum of its proper divisors (5678282880).

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

1653966720 is a wasteful number, since it uses less digits than its factorization.

1653966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1653966720 is about 40668.9896604280. The cubic root of 1653966720 is about 1182.6119294455.

The spelling of 1653966720 in words is "one billion, six hundred fifty-three million, nine hundred sixty-six thousand, seven hundred twenty".