64776096 has 288 divisors, whose sum is σ = 241532928. Its totient is φ = 15966720.

The previous prime is 64776091. The next prime is 64776109. The reversal of 64776096 is 69067746.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×64776096² = 8391885226002432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64776091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509985 + ... + 510111.

It is an arithmetic number, because the mean of its divisors is an integer number (838656).

Almost surely, 2^64776096 is an apocalyptic number.

64776096 is a gapful number since it is divisible by the number (66) 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 64776096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120766464).

64776096 is an abundant number, since it is smaller than the sum of its proper divisors (176756832).

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

64776096 is a wasteful number, since it uses less digits than its factorization.

64776096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 64776096 is about 8048.3598329101. The cubic root of 64776096 is about 401.6103746996.

The spelling of 64776096 in words is "sixty-four million, seven hundred seventy-six thousand, ninety-six".