64165440 has 112 divisors (see below), whose sum is σ = 206288640. Its totient is φ = 16896000.

The previous prime is 64165427. The next prime is 64165547. The reversal of 64165440 is 4456146.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 64165398 and 64165407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85065 + ... + 85815.

Almost surely, 2^64165440 is an apocalyptic number.

64165440 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 64165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103144320).

64165440 is an abundant number, since it is smaller than the sum of its proper divisors (142123200).

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

64165440 is a wasteful number, since it uses less digits than its factorization.

64165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 64165440 is about 8010.3333263978. Note that the first 4 decimals coincide. The cubic root of 64165440 is about 400.3443701047.

The spelling of 64165440 in words is "sixty-four million, one hundred sixty-five thousand, four hundred forty".