64854100 has 36 divisors (see below), whose sum is σ = 141484000. Its totient is φ = 25803360.

The previous prime is 64854071. The next prime is 64854109. The reversal of 64854100 is 145846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64854109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18271 + ... + 21529.

Almost surely, 2^64854100 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 64854100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70742000).

64854100 is an abundant number, since it is smaller than the sum of its proper divisors (76629900).

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

64854100 is a wasteful number, since it uses less digits than its factorization.

64854100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 64854100 is about 8053.2043311964. The cubic root of 64854100 is about 401.7715177300.

Adding to 64854100 its reverse (145846), we get a palindrome (64999946).

It can be divided in two parts, 6485 and 4100, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 64854100 in words is "sixty-four million, eight hundred fifty-four thousand, one hundred".