61508160 has 336 divisors, whose sum is σ = 252959616. Its totient is φ = 13934592.

The previous prime is 61508137. The next prime is 61508197. The reversal of 61508160 is 6180516.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544264 + ... + 544376.

It is an arithmetic number, because the mean of its divisors is an integer number (752856).

Almost surely, 2^61508160 is an apocalyptic number.

61508160 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 61508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126479808).

61508160 is an abundant number, since it is smaller than the sum of its proper divisors (191451456).

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

61508160 is a wasteful number, since it uses less digits than its factorization.

61508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 61508160 is about 7842.7138160206. The cubic root of 61508160 is about 394.7397955147.

Adding to 61508160 its reverse (6180516), we get a palindrome (67688676).

The spelling of 61508160 in words is "sixty-one million, five hundred eight thousand, one hundred sixty".