61340224 has 63 divisors (see below), whose sum is σ = 135313801. Its totient is φ = 27568640.

The previous prime is 61340219. The next prime is 61340273. The reversal of 61340224 is 42204316.

It is a happy number.

The square root of 61340224 is 7832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 49561600 = 3432^2 + 7040^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61340195 and 61340204.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 689172 + ... + 689260.

Almost surely, 2^61340224 is an apocalyptic number.

61340224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61340224 is the 7832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61340224

61340224 is an abundant number, since it is smaller than the sum of its proper divisors (73973577).

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

61340224 is an equidigital number, since it uses as much as digits as its factorization.

61340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The cubic root of 61340224 is about 394.3802147939.

The spelling of 61340224 in words is "sixty-one million, three hundred forty thousand, two hundred twenty-four".