164612400 has 60 divisors (see below), whose sum is σ = 527312232. Its totient is φ = 43896320.

The previous prime is 164612389. The next prime is 164612423. The reversal of 164612400 is 4216461.

164612400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67389 + ... + 69788.

Almost surely, 2^164612400 is an apocalyptic number.

164612400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164612400 is an abundant number, since it is smaller than the sum of its proper divisors (362699832).

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

164612400 is a wasteful number, since it uses less digits than its factorization.

164612400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137198 (or 137187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 164612400 is about 12830.1363983397. The cubic root of 164612400 is about 548.0508415365.

Adding to 164612400 its reverse (4216461), we get a palindrome (168828861).

The spelling of 164612400 in words is "one hundred sixty-four million, six hundred twelve thousand, four hundred".