61726320 has 240 divisors, whose sum is σ = 230744160. Its totient is φ = 15114240.

The previous prime is 61726289. The next prime is 61726321. The reversal of 61726320 is 2362716.

It is a happy number.

61726320 is a `hidden beast` number, since 617 + 26 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (61726321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1505500 + ... + 1505540.

It is an arithmetic number, because the mean of its divisors is an integer number (961434).

Almost surely, 2^61726320 is an apocalyptic number.

61726320 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 61726320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115372080).

61726320 is an abundant number, since it is smaller than the sum of its proper divisors (169017840).

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

61726320 is a wasteful number, since it uses less digits than its factorization.

61726320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 61726320 is about 7856.6099559543. The cubic root of 61726320 is about 395.2059386520.

The spelling of 61726320 in words is "sixty-one million, seven hundred twenty-six thousand, three hundred twenty".