61260000 has 120 divisors (see below), whose sum is σ = 201141864. Its totient is φ = 16320000.

The previous prime is 61259983. The next prime is 61260011. The reversal of 61260000 is 6216.

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 (15).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 59490 + ... + 60510.

Almost surely, 2^61260000 is an apocalyptic number.

61260000 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 61260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100570932).

61260000 is an abundant number, since it is smaller than the sum of its proper divisors (139881864).

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

61260000 is a wasteful number, since it uses less digits than its factorization.

61260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 61260000 is about 7826.8767717398. The cubic root of 61260000 is about 394.2082093285.

Adding to 61260000 its reverse (6216), we get a palindrome (61266216).

The spelling of 61260000 in words is "sixty-one million, two hundred sixty thousand".