61145406 has 48 divisors (see below), whose sum is σ = 153688704. Its totient is φ = 17206992.

The previous prime is 61145393. The next prime is 61145407. The reversal of 61145406 is 60454116.

61145406 is a `hidden beast` number, since 6 + 114 + 540 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61145406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61145407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4821 + ... + 12063.

It is an arithmetic number, because the mean of its divisors is an integer number (3201848).

Almost surely, 2^61145406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61145406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76844352).

61145406 is an abundant number, since it is smaller than the sum of its proper divisors (92543298).

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

61145406 is a wasteful number, since it uses less digits than its factorization.

61145406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7325 (or 7322 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61145406 is about 7819.5528005123. The cubic root of 61145406 is about 393.9622517023.

The spelling of 61145406 in words is "sixty-one million, one hundred forty-five thousand, four hundred six".