153966960 has 320 divisors, whose sum is σ = 642816000. Its totient is φ = 33067008.

The previous prime is 153966893. The next prime is 153966973. The reversal of 153966960 is 69669351.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256741 + ... + 257339.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2^153966960 is an apocalyptic number.

153966960 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 153966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

153966960 is an abundant number, since it is smaller than the sum of its proper divisors (488849040).

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

153966960 is a wasteful number, since it uses less digits than its factorization.

153966960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 153966960 is about 12408.3423550449. The cubic root of 153966960 is about 535.9725054583.

The spelling of 153966960 in words is "one hundred fifty-three million, nine hundred sixty-six thousand, nine hundred sixty".