153840 has 40 divisors (see below), whose sum is σ = 477648. Its totient is φ = 40960.

The previous prime is 153817. The next prime is 153841. The reversal of 153840 is 48351.

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

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81 + ... + 560.

2¹⁵³⁸⁴⁰ is an apocalyptic number.

153840 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 153840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238824).

153840 is an abundant number, since it is smaller than the sum of its proper divisors (323808).

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

153840 is a wasteful number, since it uses less digits than its factorization.

153840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 153840 is about 392.2244255525. The cubic root of 153840 is about 53.5825145311.

It can be divided in two parts, 15 and 3840, that multiplied together give a square (57600 = 240²).

The spelling of 153840 in words is "one hundred fifty-three thousand, eight hundred forty".