64374100 has 72 divisors (see below), whose sum is σ = 163614528. Its totient is φ = 21523200.

The previous prime is 64374061. The next prime is 64374103. The reversal of 64374100 is 147346.

64374100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×64374100³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64374103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27579 + ... + 29821.

It is an arithmetic number, because the mean of its divisors is an integer number (2272424).

Almost surely, 2^64374100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64374100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81807264).

64374100 is an abundant number, since it is smaller than the sum of its proper divisors (99240428).

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

64374100 is a wasteful number, since it uses less digits than its factorization.

64374100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 64374100 is about 8023.3471818188. The cubic root of 64374100 is about 400.7778613488. Note that the first 3 decimals are identical.

The spelling of 64374100 in words is "sixty-four million, three hundred seventy-four thousand, one hundred".