61824966 has 96 divisors (see below), whose sum is σ = 154441728. Its totient is φ = 16410240.

The previous prime is 61824953. The next prime is 61824991. The reversal of 61824966 is 66942816.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277131 + ... + 277353.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 2^61824966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61824966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864).

61824966 is an abundant number, since it is smaller than the sum of its proper divisors (92616762).

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

61824966 is a wasteful number, since it uses less digits than its factorization.

61824966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 61824966 is about 7862.8853482675. The cubic root of 61824966 is about 395.4163552978.

It can be divided in two parts, 61824 and 966, that multiplied together give a square (59721984 = 7728²).

The spelling of 61824966 in words is "sixty-one million, eight hundred twenty-four thousand, nine hundred sixty-six".