61418000 has 160 divisors (see below), whose sum is σ = 175488768. Its totient is φ = 20352000.

The previous prime is 61417987. The next prime is 61418011. The reversal of 61418000 is 81416.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573947 + ... + 574053.

Almost surely, 2^61418000 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 61418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

61418000 is an abundant number, since it is smaller than the sum of its proper divisors (114070768).

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

61418000 is a wasteful number, since it uses less digits than its factorization.

61418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 61418000 is about 7836.9636977595. The cubic root of 61418000 is about 394.5468284702.

Adding to 61418000 its reverse (81416), we get a palindrome (61499416).

It can be divided in two parts, 6141 and 8000, that added together give a palindrome (14141).

The spelling of 61418000 in words is "sixty-one million, four hundred eighteen thousand".