164399040 has 168 divisors, whose sum is σ = 609100128. Its totient is φ = 40458240.

The previous prime is 164399023. The next prime is 164399069. The reversal of 164399040 is 40993461.

164399040 is a `hidden beast` number, since 1 + 643 + 9 + 9 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 164398986 and 164399004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35245 + ... + 39635.

It is an arithmetic number, because the mean of its divisors is an integer number (3625596).

Almost surely, 2^164399040 is an apocalyptic number.

164399040 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 164399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304550064).

164399040 is an abundant number, since it is smaller than the sum of its proper divisors (444701088).

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

164399040 is a wasteful number, since it uses less digits than its factorization.

164399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 164399040 is about 12821.8189037281. The cubic root of 164399040 is about 547.8139564175.

The spelling of 164399040 in words is "one hundred sixty-four million, three hundred ninety-nine thousand, forty".