61467516 has 108 divisors (see below), whose sum is σ = 173702256. Its totient is φ = 18311040.

The previous prime is 61467509. The next prime is 61467517. The reversal of 61467516 is 61576416.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61467517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 448600 + ... + 448736.

Almost surely, 2^61467516 is an apocalyptic number.

61467516 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 61467516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86851128).

61467516 is an abundant number, since it is smaller than the sum of its proper divisors (112234740).

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

61467516 is a wasteful number, since it uses less digits than its factorization.

61467516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 61467516 is about 7840.1221929253. The cubic root of 61467516 is about 394.6528296043.

Subtracting 61467516 from its reverse (61576416), we obtain a square (108900 = 330²).

The spelling of 61467516 in words is "sixty-one million, four hundred sixty-seven thousand, five hundred sixteen".