153984320 has 56 divisors (see below), whose sum is σ = 419063424. Its totient is φ = 52793856.

The previous prime is 153984293. The next prime is 153984349. The reversal of 153984320 is 23489351.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×153984320² = 47422341611724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32132 + ... + 36611.

Almost surely, 2^153984320 is an apocalyptic number.

153984320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153984320 is an abundant number, since it is smaller than the sum of its proper divisors (265079104).

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

153984320 is an equidigital number, since it uses as much as digits as its factorization.

153984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68767 (or 68757 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 153984320 is about 12409.0418647049. The cubic root of 153984320 is about 535.9926485960.

The spelling of 153984320 in words is "one hundred fifty-three million, nine hundred eighty-four thousand, three hundred twenty".