61125624 has 64 divisors (see below), whose sum is σ = 194054400. Its totient is φ = 17464032.

The previous prime is 61125607. The next prime is 61125637. The reversal of 61125624 is 42652116.

61125624 is a `hidden beast` number, since 6 + 11 + 25 + 624 = 666.

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

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18702 + ... + 21725.

It is an arithmetic number, because the mean of its divisors is an integer number (3032100).

Almost surely, 2^61125624 is an apocalyptic number.

It is an amenable number.

61125624 is an abundant number, since it is smaller than the sum of its proper divisors (132928776).

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

61125624 is a wasteful number, since it uses less digits than its factorization.

61125624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40449 (or 40439 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 61125624 is about 7818.2877920936. The cubic root of 61125624 is about 393.9197617189.

The spelling of 61125624 in words is "sixty-one million, one hundred twenty-five thousand, six hundred twenty-four".