65249280 has 224 divisors, whose sum is σ = 235915200. Its totient is φ = 17104896.

The previous prime is 65249279. The next prime is 65249299. The reversal of 65249280 is 8294256.

It is a happy number.

It is a super-3 number, since 3×65249280³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105891 + ... + 1105949.

Almost surely, 2^65249280 is an apocalyptic number.

65249280 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 65249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117957600).

65249280 is an abundant number, since it is smaller than the sum of its proper divisors (170665920).

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

65249280 is an equidigital number, since it uses as much as digits as its factorization.

65249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 65249280 is about 8077.7026436976. The cubic root of 65249280 is about 402.5859132733.

The spelling of 65249280 in words is "sixty-five million, two hundred forty-nine thousand, two hundred eighty".