61292268 has 48 divisors (see below), whose sum is σ = 161616000. Its totient is φ = 20082384.

The previous prime is 61292249. The next prime is 61292269. The reversal of 61292268 is 86229216.

It is a happy number.

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 (61292269) 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 15 ways as a sum of consecutive naturals, for example, 1563 + ... + 11181.

It is an arithmetic number, because the mean of its divisors is an integer number (3367000).

Almost surely, 2^61292268 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 61292268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80808000).

61292268 is an abundant number, since it is smaller than the sum of its proper divisors (100323732).

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

61292268 is a wasteful number, since it uses less digits than its factorization.

61292268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9691 (or 9683 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 61292268 is about 7828.9378589947. The cubic root of 61292268 is about 394.2774120585.

The spelling of 61292268 in words is "sixty-one million, two hundred ninety-two thousand, two hundred sixty-eight".