61714320 has 80 divisors (see below), whose sum is σ = 197933760. Its totient is φ = 15887872.

The previous prime is 61714319. The next prime is 61714321. The reversal of 61714320 is 2341716.

It is an interprime number because it is at equal distance from previous prime (61714319) and next prime (61714321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (61714321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2527 + ... + 11393.

It is an arithmetic number, because the mean of its divisors is an integer number (2474172).

Almost surely, 2^61714320 is an apocalyptic number.

61714320 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 61714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98966880).

61714320 is an abundant number, since it is smaller than the sum of its proper divisors (136219440).

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

61714320 is a wasteful number, since it uses less digits than its factorization.

61714320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912 (or 8906 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 61714320 is about 7855.8462306743. The cubic root of 61714320 is about 395.1803267865.

The spelling of 61714320 in words is "sixty-one million, seven hundred fourteen thousand, three hundred twenty".