65504880 has 240 divisors, whose sum is σ = 258358464. Its totient is φ = 14561280.

The previous prime is 65504869. The next prime is 65504903. The reversal of 65504880 is 8840556.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206482 + ... + 206798.

Almost surely, 2^65504880 is an apocalyptic number.

65504880 is a gapful number since it is divisible by the number (60) 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 65504880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129179232).

65504880 is an abundant number, since it is smaller than the sum of its proper divisors (192853584).

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

65504880 is a wasteful number, since it uses less digits than its factorization.

65504880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 65504880 is about 8093.5085099109. The cubic root of 65504880 is about 403.1109095490.

The spelling of 65504880 in words is "sixty-five million, five hundred four thousand, eight hundred eighty".