61506396 has 72 divisors (see below), whose sum is σ = 182049504. Its totient is φ = 17141760.

The previous prime is 61506359. The next prime is 61506397. The reversal of 61506396 is 69360516.

61506396 is a `hidden beast` number, since 6 + 15 + 0 + 639 + 6 = 666.

61506396 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

61506396 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 61506396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61506397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7356 + ... + 13308.

Almost surely, 2^61506396 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 61506396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91024752).

61506396 is an abundant number, since it is smaller than the sum of its proper divisors (120543108).

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

61506396 is a wasteful number, since it uses less digits than its factorization.

61506396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 61506396 is about 7842.6013541426. The cubic root of 61506396 is about 394.7360218818.

The spelling of 61506396 in words is "sixty-one million, five hundred six thousand, three hundred ninety-six".