153796320 has 120 divisors (see below), whose sum is σ = 542818584. Its totient is φ = 41008896.

The previous prime is 153796259. The next prime is 153796333. The reversal of 153796320 is 23697351.

153796320 is a `hidden beast` number, since 1 + 537 + 96 + 32 + 0 = 666.

153796320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7027 + ... + 18893.

Almost surely, 2^153796320 is an apocalyptic number.

153796320 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 153796320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271409292).

153796320 is an abundant number, since it is smaller than the sum of its proper divisors (389022264).

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

153796320 is a wasteful number, since it uses less digits than its factorization.

153796320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11894 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 153796320 is about 12401.4644296551. The cubic root of 153796320 is about 535.7744279907.

The spelling of 153796320 in words is "one hundred fifty-three million, seven hundred ninety-six thousand, three hundred twenty".