61328124 has 216 divisors, whose sum is σ = 198638160. Its totient is φ = 16251840.

The previous prime is 61328093. The next prime is 61328131. The reversal of 61328124 is 42182316.

61328124 is a `hidden beast` number, since 613 + 28 + 1 + 24 = 666.

It is a super-2 number, since 2×61328124² = 7522277586718752, which contains 22 as substring.

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

Its product of digits (2304) is a multiple of the sum of its prime divisors (48).

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3227787 + ... + 3227805.

Almost surely, 2^61328124 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 61328124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99319080).

61328124 is an abundant number, since it is smaller than the sum of its proper divisors (137310036).

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

61328124 is a wasteful number, since it uses less digits than its factorization.

61328124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 61328124 is about 7831.2274899916. The cubic root of 61328124 is about 394.3542812161.

The spelling of 61328124 in words is "sixty-one million, three hundred twenty-eight thousand, one hundred twenty-four".