66863052 has 72 divisors (see below), whose sum is σ = 180689600. Its totient is φ = 20785248.

The previous prime is 66863039. The next prime is 66863129. The reversal of 66863052 is 25036866.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 66862998 and 66863016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45099 + ... + 46557.

Almost surely, 2^66863052 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 66863052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90344800).

66863052 is an abundant number, since it is smaller than the sum of its proper divisors (113826548).

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

66863052 is a wasteful number, since it uses less digits than its factorization.

66863052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 66863052 is about 8176.9830622302. The cubic root of 66863052 is about 405.8778944764.

The spelling of 66863052 in words is "sixty-six million, eight hundred sixty-three thousand, fifty-two".