66303468 has 288 divisors, whose sum is σ = 234420480. Its totient is φ = 15966720.

The previous prime is 66303467. The next prime is 66303473. The reversal of 66303468 is 86430366.

It is a super-2 number, since 2×66303468² = 8792299737654048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (66303467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 989571 + ... + 989637.

It is an arithmetic number, because the mean of its divisors is an integer number (813960).

Almost surely, 2^66303468 is an apocalyptic number.

66303468 is a gapful number since it is divisible by the number (68) 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 66303468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

66303468 is an abundant number, since it is smaller than the sum of its proper divisors (168117012).

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

66303468 is a wasteful number, since it uses less digits than its factorization.

66303468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 66303468 is about 8142.6941487446. The cubic root of 66303468 is about 404.7424425525.

The spelling of 66303468 in words is "sixty-six million, three hundred three thousand, four hundred sixty-eight".