153406560 has 96 divisors (see below), whose sum is σ = 485043552. Its totient is φ = 40755200.

The previous prime is 153406553. The next prime is 153406571. The reversal of 153406560 is 65604351.

153406560 is digitally balanced in base 3, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192082 + ... + 192878.

It is an arithmetic number, because the mean of its divisors is an integer number (5052537).

Almost surely, 2^153406560 is an apocalyptic number.

153406560 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 153406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242521776).

153406560 is an abundant number, since it is smaller than the sum of its proper divisors (331636992).

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

153406560 is a wasteful number, since it uses less digits than its factorization.

153406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 153406560 is about 12385.7401878128. The cubic root of 153406560 is about 535.3214477239.

The spelling of 153406560 in words is "one hundred fifty-three million, four hundred six thousand, five hundred sixty".