66889152 has 336 divisors, whose sum is σ = 239645952. Its totient is φ = 18247680.

The previous prime is 66889117. The next prime is 66889157. The reversal of 66889152 is 25198866.

66889152 = 48³ + 49³ + ... + 128³.

It is a junction number, because it is equal to n+sod(n) for n = 66889098 and 66889107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66889157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2908213 + ... + 2908235.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^66889152 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 66889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

66889152 is an abundant number, since it is smaller than the sum of its proper divisors (172756800).

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

66889152 is a wasteful number, since it uses less digits than its factorization.

66889152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 56 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 66889152 is about 8178.5788496535. The cubic root of 66889152 is about 405.9306991004.

The spelling of 66889152 in words is "sixty-six million, eight hundred eighty-nine thousand, one hundred fifty-two".