61034624 has 64 divisors (see below), whose sum is σ = 147173760. Its totient is φ = 24612864.

The previous prime is 61034599. The next prime is 61034627. The reversal of 61034624 is 42643016.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 61034593 and 61034602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61034627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13229 + ... + 17235.

It is an arithmetic number, because the mean of its divisors is an integer number (2299590).

Almost surely, 2^61034624 is an apocalyptic number.

61034624 is a gapful number since it is divisible by the number (64) 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 61034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73586880).

61034624 is an abundant number, since it is smaller than the sum of its proper divisors (86139136).

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

61034624 is a wasteful number, since it uses less digits than its factorization.

61034624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 61034624 is about 7812.4659359257. The cubic root of 61034624 is about 393.7241836101.

The spelling of 61034624 in words is "sixty-one million, thirty-four thousand, six hundred twenty-four".