61900416 has 64 divisors (see below), whose sum is σ = 182702400. Its totient is φ = 20632320.

The previous prime is 61900393. The next prime is 61900439. The reversal of 61900416 is 61400916.

61900416 is a `hidden beast` number, since 619 + 0 + 0 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (61900393) and next prime (61900439).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61900416.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5500 + ... + 12411.

It is an arithmetic number, because the mean of its divisors is an integer number (2854725).

Almost surely, 2^61900416 is an apocalyptic number.

It is an amenable number.

61900416 is an abundant number, since it is smaller than the sum of its proper divisors (120801984).

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

61900416 is a wasteful number, since it uses less digits than its factorization.

61900416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17934 (or 17916 counting only the distinct ones).

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

The square root of 61900416 is about 7867.6817424194. The cubic root of 61900416 is about 395.5771427478.

Subtracting from 61900416 its reverse (61400916), we obtain a triangular number (499500 = T₉₉₉).

The spelling of 61900416 in words is "sixty-one million, nine hundred thousand, four hundred sixteen".