164364408 has 96 divisors (see below), whose sum is σ = 491203440. Its totient is φ = 49328640.

The previous prime is 164364407. The next prime is 164364443. The reversal of 164364408 is 804463461.

164364408 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 644 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164364401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36235 + ... + 40517.

Almost surely, 2^164364408 is an apocalyptic number.

164364408 is a gapful number since it is divisible by the number (18) 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 164364408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245601720).

164364408 is an abundant number, since it is smaller than the sum of its proper divisors (326839032).

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

164364408 is a wasteful number, since it uses less digits than its factorization.

164364408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 164364408 is about 12820.4683221792. The cubic root of 164364408 is about 547.7754865552.

The spelling of 164364408 in words is "one hundred sixty-four million, three hundred sixty-four thousand, four hundred eight".