1353872016 has 160 divisors (see below), whose sum is σ = 4502846720. Its totient is φ = 381459456.

The previous prime is 1353872011. The next prime is 1353872053. The reversal of 1353872016 is 6102783531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353872011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217686 + ... + 223818.

It is an arithmetic number, because the mean of its divisors is an integer number (28142792).

Almost surely, 2^1353872016 is an apocalyptic number.

1353872016 is a gapful number since it is divisible by the number (16) 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 1353872016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251423360).

1353872016 is an abundant number, since it is smaller than the sum of its proper divisors (3148974704).

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

1353872016 is a wasteful number, since it uses less digits than its factorization.

1353872016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1353872016 is about 36794.9998777008. Note that the first 3 decimals coincide. The cubic root of 1353872016 is about 1106.2650801736.

The spelling of 1353872016 in words is "one billion, three hundred fifty-three million, eight hundred seventy-two thousand, sixteen".