61412736 has 256 divisors, whose sum is σ = 213073920. Its totient is φ = 15206400.

The previous prime is 61412719. The next prime is 61412753. The reversal of 61412736 is 63721416.

It is an interprime number because it is at equal distance from previous prime (61412719) and next prime (61412753).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916575 + ... + 916641.

It is an arithmetic number, because the mean of its divisors is an integer number (832320).

Almost surely, 2^61412736 is an apocalyptic number.

61412736 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 61412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106536960).

61412736 is an abundant number, since it is smaller than the sum of its proper divisors (151661184).

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

61412736 is a wasteful number, since it uses less digits than its factorization.

61412736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 61412736 is about 7836.6278462104. The cubic root of 61412736 is about 394.5355562382.

The spelling of 61412736 in words is "sixty-one million, four hundred twelve thousand, seven hundred thirty-six".