64164500 has 48 divisors (see below), whose sum is σ = 141108240. Its totient is φ = 25488000.

The previous prime is 64164491. The next prime is 64164509. The reversal of 64164500 is 546146.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64164491) and next prime (64164509).

It can be written as a sum of positive squares in 8 ways, for example, as 53523856 + 10640644 = 7316^2 + 3262^2 .

It is a super-3 number, since 3×64164500³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64164500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64164509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90146 + ... + 90854.

It is an arithmetic number, because the mean of its divisors is an integer number (2939755).

Almost surely, 2^64164500 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 64164500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70554120).

64164500 is an abundant number, since it is smaller than the sum of its proper divisors (76943740).

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

64164500 is a wasteful number, since it uses less digits than its factorization.

64164500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 64164500 is about 8010.2746519704. The cubic root of 64164500 is about 400.3424151294.

The spelling of 64164500 in words is "sixty-four million, one hundred sixty-four thousand, five hundred".