66953400 has 96 divisors (see below), whose sum is σ = 209212800. Its totient is φ = 17712000.

The previous prime is 66953353. The next prime is 66953401. The reversal of 66953400 is 435966.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66953401) 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, 90231 + ... + 90969.

It is an arithmetic number, because the mean of its divisors is an integer number (2179300).

Almost surely, 2^66953400 is an apocalyptic number.

66953400 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 66953400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104606400).

66953400 is an abundant number, since it is smaller than the sum of its proper divisors (142259400).

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

66953400 is a wasteful number, since it uses less digits than its factorization.

66953400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 66953400 is about 8182.5057286873. The cubic root of 66953400 is about 406.0606249508.

The spelling of 66953400 in words is "sixty-six million, nine hundred fifty-three thousand, four hundred".