64775100 has 144 divisors (see below), whose sum is σ = 213923808. Its totient is φ = 14991360.

The previous prime is 64775093. The next prime is 64775129. The reversal of 64775100 is 157746.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65812 + ... + 66788.

It is an arithmetic number, because the mean of its divisors is an integer number (1485582).

Almost surely, 2^64775100 is an apocalyptic number.

64775100 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 64775100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106961904).

64775100 is an abundant number, since it is smaller than the sum of its proper divisors (149148708).

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

64775100 is a wasteful number, since it uses less digits than its factorization.

64775100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 64775100 is about 8048.2979567111. The cubic root of 64775100 is about 401.6083162963.

The spelling of 64775100 in words is "sixty-four million, seven hundred seventy-five thousand, one hundred".