61764960 has 48 divisors (see below), whose sum is σ = 194561136. Its totient is φ = 16470528.

The previous prime is 61764947. The next prime is 61764971. The reversal of 61764960 is 6946716.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63859 + ... + 64818.

It is an arithmetic number, because the mean of its divisors is an integer number (4053357).

Almost surely, 2^61764960 is an apocalyptic number.

61764960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61764960 is an abundant number, since it is smaller than the sum of its proper divisors (132796176).

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

61764960 is a wasteful number, since it uses less digits than its factorization.

61764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128695 (or 128687 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 61764960 is about 7859.0686471108. The cubic root of 61764960 is about 395.2883863131.

The spelling of 61764960 in words is "sixty-one million, seven hundred sixty-four thousand, nine hundred sixty".