153984816 has 120 divisors (see below), whose sum is σ = 473541120. Its totient is φ = 46493568.

The previous prime is 153984799. The next prime is 153984821. The reversal of 153984816 is 618489351.

153984816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153984816² = 47422647117107712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61705 + ... + 64151.

It is an arithmetic number, because the mean of its divisors is an integer number (3946176).

Almost surely, 2^153984816 is an apocalyptic number.

153984816 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 153984816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236770560).

153984816 is an abundant number, since it is smaller than the sum of its proper divisors (319556304).

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

153984816 is a wasteful number, since it uses less digits than its factorization.

153984816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2494 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 153984816 is about 12409.0618501158. The cubic root of 153984816 is about 535.9932240920.

The spelling of 153984816 in words is "one hundred fifty-three million, nine hundred eighty-four thousand, eight hundred sixteen".