61014624 has 96 divisors (see below), whose sum is σ = 183980160. Its totient is φ = 17510400.

The previous prime is 61014599. The next prime is 61014661. The reversal of 61014624 is 42641016.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×61014624² = 7445568683722752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 61014594 and 61014603.

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, 18544 + ... + 21584.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^61014624 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 61014624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

61014624 is an abundant number, since it is smaller than the sum of its proper divisors (122965536).

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

61014624 is a wasteful number, since it uses less digits than its factorization.

61014624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61014624 is about 7811.1858254685. The cubic root of 61014624 is about 393.6811733567.

The spelling of 61014624 in words is "sixty-one million, fourteen thousand, six hundred twenty-four".