55614000 has 320 divisors, whose sum is σ = 207986688. Its totient is φ = 12672000.

The previous prime is 55613981. The next prime is 55614001. The reversal of 55614000 is 41655.

55614000 = 288² + 289² + ... + 575².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (55614001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1793985 + ... + 1794015.

Almost surely, 2^55614000 is an apocalyptic number.

55614000 is a gapful number since it is divisible by the number (50) 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 55614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103993344).

55614000 is an abundant number, since it is smaller than the sum of its proper divisors (152372688).

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

55614000 is a wasteful number, since it uses less digits than its factorization.

55614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 55614000 is about 7457.4794669513. The cubic root of 55614000 is about 381.7051716670.

Adding to 55614000 its reverse (41655), we get a palindrome (55655655).

The spelling of 55614000 in words is "fifty-five million, six hundred fourteen thousand".