61506288 has 60 divisors (see below), whose sum is σ = 175401720. Its totient is φ = 20112768.

The previous prime is 61506271. The next prime is 61506293. The reversal of 61506288 is 88260516.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3603 + ... + 11661.

It is an arithmetic number, because the mean of its divisors is an integer number (2923362).

Almost surely, 2^61506288 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 61506288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87700860).

61506288 is an abundant number, since it is smaller than the sum of its proper divisors (113895432).

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

61506288 is a wasteful number, since it uses less digits than its factorization.

61506288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8126 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 61506288 is about 7842.5944686692. The cubic root of 61506288 is about 394.7357908407.

The spelling of 61506288 in words is "sixty-one million, five hundred six thousand, two hundred eighty-eight".