61414224 has 80 divisors (see below), whose sum is σ = 165465600. Its totient is φ = 19607040.

The previous prime is 61414211. The next prime is 61414237. The reversal of 61414224 is 42241416.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61414211) and next prime (61414237).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61414194 and 61414203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221574 + ... + 221850.

It is an arithmetic number, because the mean of its divisors is an integer number (2068320).

Almost surely, 2^61414224 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 61414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82732800).

61414224 is an abundant number, since it is smaller than the sum of its proper divisors (104051376).

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

61414224 is a wasteful number, since it uses less digits than its factorization.

61414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 61414224 is about 7836.7227844297. The cubic root of 61414224 is about 394.5387426791.

The spelling of 61414224 in words is "sixty-one million, four hundred fourteen thousand, two hundred twenty-four".