61843680 has 144 divisors (see below), whose sum is σ = 214525584. Its totient is φ = 16220160.

The previous prime is 61843673. The next prime is 61843693. The reversal of 61843680 is 8634816.

It is a happy number.

61843680 is a `hidden beast` number, since 618 + 4 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96160 + ... + 96800.

It is an arithmetic number, because the mean of its divisors is an integer number (1489761).

Almost surely, 2^61843680 is an apocalyptic number.

61843680 is a gapful number since it is divisible by the number (60) 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 61843680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107262792).

61843680 is an abundant number, since it is smaller than the sum of its proper divisors (152681904).

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

61843680 is a wasteful number, since it uses less digits than its factorization.

61843680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 61843680 is about 7864.0752793955. The cubic root of 61843680 is about 395.4562478938.

The spelling of 61843680 in words is "sixty-one million, eight hundred forty-three thousand, six hundred eighty".