61516000 has 192 divisors, whose sum is σ = 187125120. Its totient is φ = 19468800.

The previous prime is 61515967. The next prime is 61516051. The reversal of 61516000 is 61516.

It is a congruent number.

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, 4731994 + ... + 4732006.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 2^61516000 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 61516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

61516000 is an abundant number, since it is smaller than the sum of its proper divisors (125609120).

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

61516000 is an equidigital number, since it uses as much as digits as its factorization.

61516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 61516000 is about 7843.2136270791. The cubic root of 61516000 is about 394.7565663438.

Adding to 61516000 its reverse (61516), we get a palindrome (61577516).

61516000 divided by its reverse (61516) gives a cube (1000 = 10³).

The spelling of 61516000 in words is "sixty-one million, five hundred sixteen thousand".