61508832 has 192 divisors, whose sum is σ = 206406144. Its totient is φ = 15575040.

The previous prime is 61508761. The next prime is 61508849. The reversal of 61508832 is 23880516.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 61508793 and 61508802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391698 + ... + 391854.

It is an arithmetic number, because the mean of its divisors is an integer number (1075032).

Almost surely, 2^61508832 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 61508832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103203072).

61508832 is an abundant number, since it is smaller than the sum of its proper divisors (144897312).

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

61508832 is a wasteful number, since it uses less digits than its factorization.

61508832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 61508832 is about 7842.7566582165. The cubic root of 61508832 is about 394.7412330702.

The spelling of 61508832 in words is "sixty-one million, five hundred eight thousand, eight hundred thirty-two".