164633540 has 48 divisors (see below), whose sum is σ = 362009088. Its totient is φ = 62772864.

The previous prime is 164633533. The next prime is 164633561. The reversal of 164633540 is 45336461.

164633540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164633497 and 164633506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212594 + ... + 213366.

It is an arithmetic number, because the mean of its divisors is an integer number (7541856).

Almost surely, 2^164633540 is an apocalyptic number.

164633540 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 164633540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181004544).

164633540 is an abundant number, since it is smaller than the sum of its proper divisors (197375548).

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

164633540 is a wasteful number, since it uses less digits than its factorization.

164633540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 164633540 is about 12830.9602134836. The cubic root of 164633540 is about 548.0743012898.

The spelling of 164633540 in words is "one hundred sixty-four million, six hundred thirty-three thousand, five hundred forty".