16064000 has 80 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 6400000.

The previous prime is 16063973. The next prime is 16064003. The reversal of 16064000 is 46061.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 16064000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16064003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63875 + ... + 64125.

Almost surely, 2^16064000 is an apocalyptic number.

16064000 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 16064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088).

16064000 is an abundant number, since it is smaller than the sum of its proper divisors (24152176).

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

16064000 is an frugal number, since it uses more digits than its factorization.

16064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 16064000 is about 4007.9920159601. The cubic root of 16064000 is about 252.3197419465.

It can be divided in two parts, 160 and 64000, that multiplied together give a square (10240000 = 3200²).

The spelling of 16064000 in words is "sixteen million, sixty-four thousand".