70164000 has 144 divisors (see below), whose sum is σ = 249139800. Its totient is φ = 18700800.

The previous prime is 70163999. The next prime is 70164001. The reversal of 70164000 is 46107.

It is an interprime number because it is at equal distance from previous prime (70163999) and next prime (70164001).

It can be written as a sum of positive squares in 4 ways, for example, as 31674384 + 38489616 = 5628^2 + 6204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (70164001) by changing a digit.

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, 35026 + ... + 36974.

Almost surely, 2^70164000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124569900).

70164000 is an abundant number, since it is smaller than the sum of its proper divisors (178975800).

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

70164000 is a wasteful number, since it uses less digits than its factorization.

70164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 70164000 is about 8376.3954061398. The cubic root of 70164000 is about 412.4501317126.

The spelling of 70164000 in words is "seventy million, one hundred sixty-four thousand".