153685644 has 96 divisors (see below), whose sum is σ = 436617216. Its totient is φ = 41072640.

The previous prime is 153685643. The next prime is 153685709. The reversal of 153685644 is 446586351.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 153685596 and 153685605.

It is not an unprimeable number, because it can be changed into a prime (153685643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401077 + ... + 401459.

It is an arithmetic number, because the mean of its divisors is an integer number (4548096).

Almost surely, 2^153685644 is an apocalyptic number.

153685644 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 153685644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218308608).

153685644 is an abundant number, since it is smaller than the sum of its proper divisors (282931572).

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

153685644 is a wasteful number, since it uses less digits than its factorization.

153685644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 693 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 153685644 is about 12397.0014116318. The cubic root of 153685644 is about 535.6458778835.

It can be divided in two parts, 15368 and 5644, that added together give a palindrome (21012).

The spelling of 153685644 in words is "one hundred fifty-three million, six hundred eighty-five thousand, six hundred forty-four".