61500816 has 160 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 18441216.

The previous prime is 61500811. The next prime is 61500823. The reversal of 61500816 is 61800516.

61500816 is digitally balanced in base 2, because in such base 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 61500816.

It is not an unprimeable number, because it can be changed into a prime (61500811) 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 31 ways as a sum of consecutive naturals, for example, 263836 + ... + 264068.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^61500816 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 61500816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

61500816 is an abundant number, since it is smaller than the sum of its proper divisors (133486704).

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

61500816 is a wasteful number, since it uses less digits than its factorization.

61500816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 61500816 is about 7842.2455967663. The cubic root of 61500816 is about 394.7240844045.

The spelling of 61500816 in words is "sixty-one million, five hundred thousand, eight hundred sixteen".