61212264 has 64 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 19849920.

The previous prime is 61212247. The next prime is 61212287. The reversal of 61212264 is 46221216.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196669 + ... + 196979.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^61212264 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 61212264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

61212264 is an abundant number, since it is smaller than the sum of its proper divisors (96035736).

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

61212264 is a wasteful number, since it uses less digits than its factorization.

61212264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 514 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 61212264 is about 7823.8266851970. The cubic root of 61212264 is about 394.1057889723.

It can be divided in two parts, 6121 and 2264, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 61212264 in words is "sixty-one million, two hundred twelve thousand, two hundred sixty-four".