61553646 has 96 divisors (see below), whose sum is σ = 168480000. Its totient is φ = 15776640.

The previous prime is 61553627. The next prime is 61553671. The reversal of 61553646 is 64635516.

61553646 is a `hidden beast` number, since 6 + 1 + 5 + 5 + 3 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61553646.

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, 123105 + ... + 123603.

It is an arithmetic number, because the mean of its divisors is an integer number (1755000).

Almost surely, 2^61553646 is an apocalyptic number.

61553646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61553646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240000).

61553646 is an abundant number, since it is smaller than the sum of its proper divisors (106926354).

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

61553646 is a wasteful number, since it uses less digits than its factorization.

61553646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 611 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 61553646 is about 7845.6131691538. The cubic root of 61553646 is about 394.8370764292.

It can be divided in two parts, 6155 and 3646, that added together give a square (9801 = 99²).

The spelling of 61553646 in words is "sixty-one million, five hundred fifty-three thousand, six hundred forty-six".