61834624 has 32 divisors (see below), whose sum is σ = 124431840. Its totient is φ = 30604800.

The previous prime is 61834621. The next prime is 61834631. The reversal of 61834624 is 42643816.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 61834624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61834621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10537 + ... + 15319.

It is an arithmetic number, because the mean of its divisors is an integer number (3888495).

Almost surely, 2^61834624 is an apocalyptic number.

61834624 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 61834624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62215920).

61834624 is an abundant number, since it is smaller than the sum of its proper divisors (62597216).

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

61834624 is a wasteful number, since it uses less digits than its factorization.

61834624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4886 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 61834624 is about 7863.4994754244. The cubic root of 61834624 is about 395.4369442420.

The spelling of 61834624 in words is "sixty-one million, eight hundred thirty-four thousand, six hundred twenty-four".