61407720 has 160 divisors (see below), whose sum is σ = 225292320. Its totient is φ = 14878080.

The previous prime is 61407719. The next prime is 61407721. The reversal of 61407720 is 2770416.

It is an interprime number because it is at equal distance from previous prime (61407719) and next prime (61407721).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61407721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34779 + ... + 36501.

It is an arithmetic number, because the mean of its divisors is an integer number (1408077).

Almost surely, 2^61407720 is an apocalyptic number.

61407720 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 61407720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112646160).

61407720 is an abundant number, since it is smaller than the sum of its proper divisors (163884600).

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

61407720 is a wasteful number, since it uses less digits than its factorization.

61407720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 61407720 is about 7836.3078040618. The cubic root of 61407720 is about 394.5248144694.

The spelling of 61407720 in words is "sixty-one million, four hundred seven thousand, seven hundred twenty".