147664 has 20 divisors (see below), whose sum is σ = 312480. Its totient is φ = 67040.

The previous prime is 147661. The next prime is 147671. The reversal of 147664 is 466741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 244 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2¹⁴⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

147664 is an abundant number, since it is smaller than the sum of its proper divisors (164816).

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

147664 is a wasteful number, since it uses less digits than its factorization.

147664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 147664 is about 384.2707378919. The cubic root of 147664 is about 52.8556651992.

It can be divided in two parts, 1476 and 64, that added together give a triangular number (1540 = T₅₅).

The spelling of 147664 in words is "one hundred forty-seven thousand, six hundred sixty-four".