153960 has 32 divisors (see below), whose sum is σ = 462240. Its totient is φ = 41024.

The previous prime is 153953. The next prime is 153991. The reversal of 153960 is 69351.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 153960.

It is an unprimeable number.

153960 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, 522 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (14445).

2¹⁵³⁹⁶⁰ is an apocalyptic number.

153960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153960 is an abundant number, since it is smaller than the sum of its proper divisors (308280).

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

153960 is a wasteful number, since it uses less digits than its factorization.

153960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 153960 is about 392.3773693780. The cubic root of 153960 is about 53.5964429213.

The spelling of 153960 in words is "one hundred fifty-three thousand, nine hundred sixty".