61764120 has 160 divisors (see below), whose sum is σ = 226599120. Its totient is φ = 14964480.

The previous prime is 61764097. The next prime is 61764127. The reversal of 61764120 is 2146716.

61764120 is a `hidden beast` number, since 6 + 17 + 641 + 2 + 0 = 666.

61764120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61764127) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 34774 + ... + 36506.

Almost surely, 2^61764120 is an apocalyptic number.

61764120 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 61764120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113299560).

61764120 is an abundant number, since it is smaller than the sum of its proper divisors (164835000).

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

61764120 is a wasteful number, since it uses less digits than its factorization.

61764120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61764120 is about 7859.0152054822. The cubic root of 61764120 is about 395.2865943384.

It can be divided in two parts, 6176 and 4120, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 61764120 in words is "sixty-one million, seven hundred sixty-four thousand, one hundred twenty".