61016406 has 64 divisors (see below), whose sum is σ = 139968000. Its totient is φ = 17561600.

The previous prime is 61016399. The next prime is 61016407. The reversal of 61016406 is 60461016.

61016406 is nontrivially palindromic in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61016407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135670 + ... + 136118.

It is an arithmetic number, because the mean of its divisors is an integer number (2187000).

Almost surely, 2^61016406 is an apocalyptic number.

61016406 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61016406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69984000).

61016406 is an abundant number, since it is smaller than the sum of its proper divisors (78951594).

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

61016406 is a wasteful number, since it uses less digits than its factorization.

61016406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 61016406 is about 7811.2998918234. The cubic root of 61016406 is about 393.6850059517.

The spelling of 61016406 in words is "sixty-one million, sixteen thousand, four hundred six".