61368624 has 40 divisors (see below), whose sum is σ = 176151920. Its totient is φ = 20456064.

The previous prime is 61368569. The next prime is 61368661. The reversal of 61368624 is 42686316.

It is a super-2 number, since 2×61368624² = 7532216023306752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70597 + ... + 71460.

It is an arithmetic number, because the mean of its divisors is an integer number (4403798).

Almost surely, 2^61368624 is an apocalyptic number.

It is an amenable number.

61368624 is an abundant number, since it is smaller than the sum of its proper divisors (114783296).

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

61368624 is a wasteful number, since it uses less digits than its factorization.

61368624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142074 (or 142062 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 61368624 is about 7833.8128647549. The cubic root of 61368624 is about 394.4410702938.

The spelling of 61368624 in words is "sixty-one million, three hundred sixty-eight thousand, six hundred twenty-four".