61506306 has 96 divisors (see below), whose sum is σ = 151632000. Its totient is φ = 17902080.

The previous prime is 61506293. The next prime is 61506349. The reversal of 61506306 is 60360516.

It is a self number, because there is not a number n which added to its sum of digits gives 61506306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412720 + ... + 412868.

It is an arithmetic number, because the mean of its divisors is an integer number (1579500).

Almost surely, 2^61506306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61506306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75816000).

61506306 is an abundant number, since it is smaller than the sum of its proper divisors (90125694).

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

61506306 is a wasteful number, since it uses less digits than its factorization.

61506306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 61506306 is about 7842.5956162485. The cubic root of 61506306 is about 394.7358293476.

The spelling of 61506306 in words is "sixty-one million, five hundred six thousand, three hundred six".