64077216 has 192 divisors, whose sum is σ = 209018880. Its totient is φ = 16773120.

The previous prime is 64077197. The next prime is 64077263. The reversal of 64077216 is 61277046.

It is a super-2 number, since 2×64077216² = 8211779220621312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811065 + ... + 811143.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^64077216 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 64077216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

64077216 is an abundant number, since it is smaller than the sum of its proper divisors (144941664).

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

64077216 is a wasteful number, since it uses less digits than its factorization.

64077216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 64077216 is about 8004.8245452352. The cubic root of 64077216 is about 400.1608020148.

The spelling of 64077216 in words is "sixty-four million, seventy-seven thousand, two hundred sixteen".