61416360 has 256 divisors, whose sum is σ = 223776000. Its totient is φ = 14929920.

The previous prime is 61416353. The next prime is 61416361. The reversal of 61416360 is 6361416.

61416360 is a `hidden beast` number, since 614 + 16 + 36 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61416361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 841284 + ... + 841356.

It is an arithmetic number, because the mean of its divisors is an integer number (874125).

Almost surely, 2^61416360 is an apocalyptic number.

61416360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61416360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111888000).

61416360 is an abundant number, since it is smaller than the sum of its proper divisors (162359640).

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

61416360 is a wasteful number, since it uses less digits than its factorization.

61416360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 61416360 is about 7836.8590647019. The cubic root of 61416360 is about 394.5433166737.

Adding to 61416360 its reverse (6361416), we get a palindrome (67777776).

It can be divided in two parts, 61416 and 360, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 61416360 in words is "sixty-one million, four hundred sixteen thousand, three hundred sixty".