61269516 has 216 divisors, whose sum is σ = 208196352. Its totient is φ = 14731200.

The previous prime is 61269511. The next prime is 61269517. The reversal of 61269516 is 61596216.

61269516 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 (36).

It is not an unprimeable number, because it can be changed into a prime (61269511) 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 71 ways as a sum of consecutive naturals, for example, 1976421 + ... + 1976451.

It is an arithmetic number, because the mean of its divisors is an integer number (963872).

Almost surely, 2^61269516 is an apocalyptic number.

61269516 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61269516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104098176).

61269516 is an abundant number, since it is smaller than the sum of its proper divisors (146926836).

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

61269516 is a wasteful number, since it uses less digits than its factorization.

61269516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 61269516 is about 7827.4846534503. The cubic root of 61269516 is about 394.2286200973.

The spelling of 61269516 in words is "sixty-one million, two hundred sixty-nine thousand, five hundred sixteen".