61788960 has 96 divisors (see below), whose sum is σ = 216276480. Its totient is φ = 16475904.

The previous prime is 61788953. The next prime is 61788977. The reversal of 61788960 is 6988716.

It is a happy number.

61788960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2832 + ... + 11471.

It is an arithmetic number, because the mean of its divisors is an integer number (2252880).

Almost surely, 2^61788960 is an apocalyptic number.

61788960 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 61788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108138240).

61788960 is an abundant number, since it is smaller than the sum of its proper divisors (154487520).

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

61788960 is a wasteful number, since it uses less digits than its factorization.

61788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14327 (or 14313 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 61788960 is about 7860.5953972966. The cubic root of 61788960 is about 395.3395787301.

The spelling of 61788960 in words is "sixty-one million, seven hundred eighty-eight thousand, nine hundred sixty".