1653201672 has 64 divisors (see below), whose sum is σ = 4267468800. Its totient is φ = 533352960.

The previous prime is 1653201661. The next prime is 1653201673. The reversal of 1653201672 is 2761023561.

It is not an unprimeable number, because it can be changed into a prime (1653201673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118354 + ... + 131582.

It is an arithmetic number, because the mean of its divisors is an integer number (66679200).

Almost surely, 2^1653201672 is an apocalyptic number.

1653201672 is a gapful number since it is divisible by the number (12) 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 1653201672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133734400).

1653201672 is an abundant number, since it is smaller than the sum of its proper divisors (2614267128).

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

1653201672 is a wasteful number, since it uses less digits than its factorization.

1653201672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13406 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1653201672 is about 40659.5827819224. The cubic root of 1653201672 is about 1182.4295609179.

The spelling of 1653201672 in words is "one billion, six hundred fifty-three million, two hundred one thousand, six hundred seventy-two".