61716720 has 160 divisors (see below), whose sum is σ = 208986624. Its totient is φ = 14976000.

The previous prime is 61716713. The next prime is 61716737. The reversal of 61716720 is 2761716.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408645 + ... + 408795.

Almost surely, 2^61716720 is an apocalyptic number.

61716720 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 61716720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104493312).

61716720 is an abundant number, since it is smaller than the sum of its proper divisors (147269904).

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

61716720 is a wasteful number, since it uses less digits than its factorization.

61716720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 61716720 is about 7855.9989816700. The cubic root of 61716720 is about 395.1854494252.

The spelling of 61716720 in words is "sixty-one million, seven hundred sixteen thousand, seven hundred twenty".