66575100 has 72 divisors (see below), whose sum is σ = 193511920. Its totient is φ = 17671680.

The previous prime is 66575081. The next prime is 66575101. The reversal of 66575100 is 157566.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66575101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93546 + ... + 94254.

Almost surely, 2^66575100 is an apocalyptic number.

66575100 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 66575100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96755960).

66575100 is an abundant number, since it is smaller than the sum of its proper divisors (126936820).

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

66575100 is a wasteful number, since it uses less digits than its factorization.

66575100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 66575100 is about 8159.3565922810. The cubic root of 66575100 is about 405.2944056592.

The spelling of 66575100 in words is "sixty-six million, five hundred seventy-five thousand, one hundred".