61414400 has 66 divisors (see below), whose sum is σ = 152296800. Its totient is φ = 24555520.

The previous prime is 61414399. The next prime is 61414427. The reversal of 61414400 is 441416.

It is a happy number.

It is a super-3 number, since 3×61414400³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24401 + ... + 26799.

Almost surely, 2^61414400 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 61414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76148400).

61414400 is an abundant number, since it is smaller than the sum of its proper divisors (90882400).

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

61414400 is a wasteful number, since it uses less digits than its factorization.

61414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 61414400 is about 7836.7340136054. The cubic root of 61414400 is about 394.5391195666.

Adding to 61414400 its reverse (441416), we get a palindrome (61855816).

The spelling of 61414400 in words is "sixty-one million, four hundred fourteen thousand, four hundred".