153985664 has 64 divisors (see below), whose sum is σ = 354715200. Its totient is φ = 65218560.

The previous prime is 153985639. The next prime is 153985669. The reversal of 153985664 is 466589351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (153985669) 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, 78779 + ... + 80709.

It is an arithmetic number, because the mean of its divisors is an integer number (5542425).

Almost surely, 2^153985664 is an apocalyptic number.

153985664 is a gapful number since it is divisible by the number (14) 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 153985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177357600).

153985664 is an abundant number, since it is smaller than the sum of its proper divisors (200729536).

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

153985664 is an equidigital number, since it uses as much as digits as its factorization.

153985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2029 counting only the distinct ones).

The product of its digits is 777600, while the sum is 47.

The square root of 153985664 is about 12409.0960186470. The cubic root of 153985664 is about 535.9942080016.

The spelling of 153985664 in words is "one hundred fifty-three million, nine hundred eighty-five thousand, six hundred sixty-four".