153680 has 40 divisors (see below), whose sum is σ = 381672. Its totient is φ = 57344.

The previous prime is 153649. The next prime is 153689. The reversal of 153680 is 86351.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 150544 = 56^2 + 388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153689) by changing a digit.

153680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1304 + ... + 1416.

2¹⁵³⁶⁸⁰ is an apocalyptic number.

153680 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 153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190836).

153680 is an abundant number, since it is smaller than the sum of its proper divisors (227992).

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

153680 is a wasteful number, since it uses less digits than its factorization.

153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 153680 is about 392.0204076321. The cubic root of 153680 is about 53.5639320727.

The spelling of 153680 in words is "one hundred fifty-three thousand, six hundred eighty".