61135624 has 32 divisors (see below), whose sum is σ = 126928800. Its totient is φ = 27371520.

The previous prime is 61135589. The next prime is 61135631. The reversal of 61135624 is 42653116.

It is a junction number, because it is equal to n+sod(n) for n = 61135592 and 61135601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712 + ... + 11080.

It is an arithmetic number, because the mean of its divisors is an integer number (3966525).

Almost surely, 2^61135624 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 61135624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63464400).

61135624 is an abundant number, since it is smaller than the sum of its proper divisors (65793176).

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

61135624 is a wasteful number, since it uses less digits than its factorization.

61135624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10453 (or 10449 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 61135624 is about 7818.9272921546. The cubic root of 61135624 is about 393.9412419785.

The spelling of 61135624 in words is "sixty-one million, one hundred thirty-five thousand, six hundred twenty-four".