61245000 has 120 divisors (see below), whose sum is σ = 207425790. Its totient is φ = 16320000.

The previous prime is 61244993. The next prime is 61245001. The reversal of 61245000 is 54216.

It is a happy number.

61245000 is a `hidden beast` number, since 612 + 4 + 50 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 311364 + 60933636 = 558^2 + 7806^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (61245001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44320 + ... + 45680.

Almost surely, 2^61245000 is an apocalyptic number.

61245000 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 61245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103712895).

61245000 is an abundant number, since it is smaller than the sum of its proper divisors (146180790).

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

61245000 is a wasteful number, since it uses less digits than its factorization.

61245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 61245000 is about 7825.9184764473. The cubic root of 61245000 is about 394.1760316931.

Adding to 61245000 its reverse (54216), we get a palindrome (61299216).

The spelling of 61245000 in words is "sixty-one million, two hundred forty-five thousand".