61560000 has 350 divisors, whose sum is σ = 240032540. Its totient is φ = 15552000.

The previous prime is 61559999. The next prime is 61560001. The reversal of 61560000 is 6516.

61560000 is a `hidden beast` number, since 61 + 5 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61559999) and next prime (61560001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (61560001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3239991 + ... + 3240009.

Almost surely, 2^61560000 is an apocalyptic number.

61560000 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 61560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120016270).

61560000 is an abundant number, since it is smaller than the sum of its proper divisors (178472540).

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

61560000 is an equidigital number, since it uses as much as digits as its factorization.

61560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 61560000 is about 7846.0180983732. The cubic root of 61560000 is about 394.8506619145.

Adding to 61560000 its reverse (6516), we get a palindrome (61566516).

The spelling of 61560000 in words is "sixty-one million, five hundred sixty thousand".