61292840 has 64 divisors (see below), whose sum is σ = 158284800. Its totient is φ = 20924928.

The previous prime is 61292821. The next prime is 61292843. The reversal of 61292840 is 4829216.

It is a junction number, because it is equal to n+sod(n) for n = 61292797 and 61292806.

It is not an unprimeable number, because it can be changed into a prime (61292843) by changing a digit.

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, 127721 + ... + 128199.

It is an arithmetic number, because the mean of its divisors is an integer number (2473200).

Almost surely, 2^61292840 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 61292840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79142400).

61292840 is an abundant number, since it is smaller than the sum of its proper divisors (96991960).

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

61292840 is a wasteful number, since it uses less digits than its factorization.

61292840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 61292840 is about 7828.9743900462. The cubic root of 61292840 is about 394.2786385644.

The spelling of 61292840 in words is "sixty-one million, two hundred ninety-two thousand, eight hundred forty".