65672880 has 320 divisors, whose sum is σ = 261316608. Its totient is φ = 13271040.

The previous prime is 65672851. The next prime is 65672899. The reversal of 65672880 is 8827656.

65672880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676992 + ... + 677088.

Almost surely, 2^65672880 is an apocalyptic number.

65672880 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 65672880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130658304).

65672880 is an abundant number, since it is smaller than the sum of its proper divisors (195643728).

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

65672880 is a wasteful number, since it uses less digits than its factorization.

65672880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 65672880 is about 8103.8805519331. The cubic root of 65672880 is about 403.4552341204.

It can be divided in two parts, 656 and 72880, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 65672880 in words is "sixty-five million, six hundred seventy-two thousand, eight hundred eighty".