61863552 has 96 divisors (see below), whose sum is σ = 180442080. Its totient is φ = 20341248.

The previous prime is 61863533. The next prime is 61863559. The reversal of 61863552 is 25536816.

61863552 is a `hidden beast` number, since 6 + 18 + 635 + 5 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61863559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95293 + ... + 95939.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^61863552 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 61863552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90221040).

61863552 is an abundant number, since it is smaller than the sum of its proper divisors (118578528).

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

61863552 is a wasteful number, since it uses less digits than its factorization.

61863552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 735 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 61863552 is about 7865.3386449663. The cubic root of 61863552 is about 395.4986001869.

The spelling of 61863552 in words is "sixty-one million, eight hundred sixty-three thousand, five hundred fifty-two".