66926160 has 240 divisors, whose sum is σ = 263078400. Its totient is φ = 15240960.

The previous prime is 66926147. The next prime is 66926173. The reversal of 66926160 is 6162966.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66926147) and next prime (66926173).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×66926160² = 8958221784691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 246825 + ... + 247095.

It is an arithmetic number, because the mean of its divisors is an integer number (1096160).

Almost surely, 2^66926160 is an apocalyptic number.

66926160 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 66926160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131539200).

66926160 is an abundant number, since it is smaller than the sum of its proper divisors (196152240).

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

66926160 is a wasteful number, since it uses less digits than its factorization.

66926160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 66926160 is about 8180.8410325589. The cubic root of 66926160 is about 406.0055488738.

The spelling of 66926160 in words is "sixty-six million, nine hundred twenty-six thousand, one hundred sixty".