61405416 has 48 divisors (see below), whose sum is σ = 175063200. Its totient is φ = 19390752.

The previous prime is 61405403. The next prime is 61405417. The reversal of 61405416 is 61450416.

61405416 is a `hidden beast` number, since 614 + 0 + 5 + 41 + 6 = 666.

It is a super-2 number, since 2×61405416² = 7541250228266112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61405416.

It is not an unprimeable number, because it can be changed into a prime (61405417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21076 + ... + 23811.

It is an arithmetic number, because the mean of its divisors is an integer number (3647150).

Almost surely, 2^61405416 is an apocalyptic number.

It is an amenable number.

61405416 is an abundant number, since it is smaller than the sum of its proper divisors (113657784).

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

61405416 is a wasteful number, since it uses less digits than its factorization.

61405416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44918 (or 44911 counting only the distinct ones).

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

The square root of 61405416 is about 7836.1607946749. The cubic root of 61405416 is about 394.5198802552.

The spelling of 61405416 in words is "sixty-one million, four hundred five thousand, four hundred sixteen".