61134624 has 72 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 20112768.

The previous prime is 61134611. The next prime is 61134629. The reversal of 61134624 is 42643116.

61134624 is a `hidden beast` number, since 6 + 1 + 1 + 34 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (61134629) 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, 21409 + ... + 24095.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^61134624 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 61134624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

61134624 is an abundant number, since it is smaller than the sum of its proper divisors (114983136).

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

61134624 is a wasteful number, since it uses less digits than its factorization.

61134624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2771 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 61134624 is about 7818.8633445022. The cubic root of 61134624 is about 393.9390940580.

The spelling of 61134624 in words is "sixty-one million, one hundred thirty-four thousand, six hundred twenty-four".