61406720 has 120 divisors (see below), whose sum is σ = 158286744. Its totient is φ = 22839296.

The previous prime is 61406713. The next prime is 61406729. The reversal of 61406720 is 2760416.

It is a super-3 number, since 3×61406720³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61406720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61406729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 739799 + ... + 739881.

Almost surely, 2^61406720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79143372).

61406720 is an abundant number, since it is smaller than the sum of its proper divisors (96880024).

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

61406720 is an equidigital number, since it uses as much as digits as its factorization.

61406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 61406720 is about 7836.2439982430. The cubic root of 61406720 is about 394.5226728985.

It can be divided in two parts, 61406 and 720, that added together give a palindrome (62126).

The spelling of 61406720 in words is "sixty-one million, four hundred six thousand, seven hundred twenty".