69966000 has 360 divisors, whose sum is σ = 276116256. Its totient is φ = 16473600.

The previous prime is 69965993. The next prime is 69966011. The reversal of 69966000 is 66996.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3041989 + ... + 3042011.

Almost surely, 2^69966000 is an apocalyptic number.

69966000 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 69966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138058128).

69966000 is an abundant number, since it is smaller than the sum of its proper divisors (206150256).

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

69966000 is a wasteful number, since it uses less digits than its factorization.

69966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 69966000 is about 8364.5681299156. The cubic root of 69966000 is about 412.0617936032.

It can be divided in two parts, 6996 and 6000, that added together give a square (12996 = 114²).

The spelling of 69966000 in words is "sixty-nine million, nine hundred sixty-six thousand".