61414416 has 160 divisors (see below), whose sum is σ = 210462720. Its totient is φ = 16765056.

The previous prime is 61414399. The next prime is 61414427. The reversal of 61414416 is 61441416.

61414416 is a `hidden beast` number, since 614 + 1 + 4 + 41 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61414416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69111 + ... + 69993.

It is an arithmetic number, because the mean of its divisors is an integer number (1315392).

Almost surely, 2^61414416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61414416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105231360).

61414416 is an abundant number, since it is smaller than the sum of its proper divisors (149048304).

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

61414416 is a wasteful number, since it uses less digits than its factorization.

61414416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 918 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 61414416 is about 7836.7350344388. The cubic root of 61414416 is about 394.5391538290.

Subtracting 61414416 from its reverse (61441416), we obtain a cube (27000 = 30³).

The spelling of 61414416 in words is "sixty-one million, four hundred fourteen thousand, four hundred sixteen".