61897824 has 96 divisors (see below), whose sum is σ = 186439680. Its totient is φ = 19958400.

The previous prime is 61897819. The next prime is 61897841. The reversal of 61897824 is 42879816.

61897824 is a `hidden beast` number, since 618 + 9 + 7 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 61897824.

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, 25629 + ... + 27939.

It is an arithmetic number, because the mean of its divisors is an integer number (1942080).

Almost surely, 2^61897824 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 61897824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93219840).

61897824 is an abundant number, since it is smaller than the sum of its proper divisors (124541856).

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

61897824 is a wasteful number, since it uses less digits than its factorization.

61897824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2347 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 61897824 is about 7867.5170161875. The cubic root of 61897824 is about 395.5716212433.

The spelling of 61897824 in words is "sixty-one million, eight hundred ninety-seven thousand, eight hundred twenty-four".