61218000 has 240 divisors, whose sum is σ = 226324800. Its totient is φ = 15379200.

The previous prime is 61217993. The next prime is 61218013. The reversal of 61218000 is 81216.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341911 + ... + 342089.

It is an arithmetic number, because the mean of its divisors is an integer number (943020).

Almost surely, 2^61218000 is an apocalyptic number.

61218000 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 61218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113162400).

61218000 is an abundant number, since it is smaller than the sum of its proper divisors (165106800).

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

61218000 is a wasteful number, since it uses less digits than its factorization.

61218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 61218000 is about 7824.1932491472. The cubic root of 61218000 is about 394.1180987070.

Adding to 61218000 its reverse (81216), we get a palindrome (61299216).

The spelling of 61218000 in words is "sixty-one million, two hundred eighteen thousand".