61824114 has 128 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 17418240.

The previous prime is 61824109. The next prime is 61824149. The reversal of 61824114 is 41142816.

It is a happy number.

61824114 is a `hidden beast` number, since 618 + 2 + 41 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 637314 + ... + 637410.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^61824114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61824114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

61824114 is an abundant number, since it is smaller than the sum of its proper divisors (99052686).

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

61824114 is a wasteful number, since it uses less digits than its factorization.

61824114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 61824114 is about 7862.8311694961. The cubic root of 61824114 is about 395.4145388995.

It can be divided in two parts, 6182 and 4114, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 61824114 in words is "sixty-one million, eight hundred twenty-four thousand, one hundred fourteen".