61410690 has 256 divisors, whose sum is σ = 199065600. Its totient is φ = 13305600.

The previous prime is 61410689. The next prime is 61410691. The reversal of 61410690 is 9601416.

It is an interprime number because it is at equal distance from previous prime (61410689) and next prime (61410691).

It is a super-2 number, since 2×61410690² = 7542545692552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61410691) 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 127 ways as a sum of consecutive naturals, for example, 1980975 + ... + 1981005.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 2^61410690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61410690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99532800).

61410690 is an abundant number, since it is smaller than the sum of its proper divisors (137654910).

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

61410690 is a wasteful number, since it uses less digits than its factorization.

61410690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61410690 is about 7836.4973042808. The cubic root of 61410690 is about 394.5311747979.

The spelling of 61410690 in words is "sixty-one million, four hundred ten thousand, six hundred ninety".