61801344 has 96 divisors (see below), whose sum is σ = 194046840. Its totient is φ = 18723840.

The previous prime is 61801303. The next prime is 61801351. The reversal of 61801344 is 44310816.

61801344 is a `hidden beast` number, since 618 + 0 + 1 + 3 + 44 = 666.

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

It is a super-2 number, since 2×61801344² = 7638812240412672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10234 + ... + 15110.

Almost surely, 2^61801344 is an apocalyptic number.

61801344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97023420).

61801344 is an abundant number, since it is smaller than the sum of its proper divisors (132245496).

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

61801344 is a wasteful number, since it uses less digits than its factorization.

61801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4893 counting only the distinct ones).

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

The square root of 61801344 is about 7861.3830844197. The cubic root of 61801344 is about 395.3659888326.

The spelling of 61801344 in words is "sixty-one million, eight hundred one thousand, three hundred forty-four".