164960640 has 192 divisors, whose sum is σ = 613725840. Its totient is φ = 40587264.

The previous prime is 164960567. The next prime is 164960651. The reversal of 164960640 is 46069461.

164960640 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 164960595 and 164960604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73779 + ... + 75981.

Almost surely, 2^164960640 is an apocalyptic number.

164960640 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 164960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306862920).

164960640 is an abundant number, since it is smaller than the sum of its proper divisors (448765200).

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

164960640 is a wasteful number, since it uses less digits than its factorization.

164960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 164960640 is about 12843.7004013641. The cubic root of 164960640 is about 548.4370392525.

It can be divided in two parts, 164960 and 640, that added together give a triangular number (165600 = T₅₇₅).

The spelling of 164960640 in words is "one hundred sixty-four million, nine hundred sixty thousand, six hundred forty".