64348416 has 108 divisors (see below), whose sum is σ = 202478640. Its totient is φ = 19491840.

The previous prime is 64348373. The next prime is 64348429. The reversal of 64348416 is 61484346.

64348416 is a `hidden beast` number, since 643 + 4 + 8 + 4 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 24075 + ... + 26613.

Almost surely, 2^64348416 is an apocalyptic number.

64348416 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 64348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101239320).

64348416 is an abundant number, since it is smaller than the sum of its proper divisors (138130224).

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

64348416 is a wasteful number, since it uses less digits than its factorization.

64348416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2555 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 64348416 is about 8021.7464432628. The cubic root of 64348416 is about 400.7245534300.

The spelling of 64348416 in words is "sixty-four million, three hundred forty-eight thousand, four hundred sixteen".