61800960 has 160 divisors (see below), whose sum is σ = 213111360. Its totient is φ = 15187968.

The previous prime is 61800941. The next prime is 61800971. The reversal of 61800960 is 6900816.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 99531 + ... + 100149.

It is an arithmetic number, because the mean of its divisors is an integer number (1331946).

Almost surely, 2^61800960 is an apocalyptic number.

61800960 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 61800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

61800960 is an abundant number, since it is smaller than the sum of its proper divisors (151310400).

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

61800960 is a wasteful number, since it uses less digits than its factorization.

61800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 61800960 is about 7861.3586611985. The cubic root of 61800960 is about 395.3651699677.

The spelling of 61800960 in words is "sixty-one million, eight hundred thousand, nine hundred sixty".