661014000 has 160 divisors (see below), whose sum is σ = 2368092480. Its totient is φ = 176256000.

The previous prime is 661013957. The next prime is 661014001. The reversal of 661014000 is 410166.

661014000 is a `hidden beast` number, since 661 + 0 + 1 + 4 + 0 + 0 + 0 = 666.

661014000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661014001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47880 + ... + 60120.

It is an arithmetic number, because the mean of its divisors is an integer number (14800578).

Almost surely, 2^661014000 is an apocalyptic number.

661014000 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 661014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184046240).

661014000 is an abundant number, since it is smaller than the sum of its proper divisors (1707078480).

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

661014000 is a wasteful number, since it uses less digits than its factorization.

661014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12273 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 661014000 is about 25710.1925313678. The cubic root of 661014000 is about 871.1044237902.

Adding to 661014000 its reverse (410166), we get a palindrome (661424166).

The spelling of 661014000 in words is "six hundred sixty-one million, fourteen thousand".