61201000 has 96 divisors (see below), whose sum is σ = 166725000. Its totient is φ = 20966400.

The previous prime is 61200967. The next prime is 61201001. The reversal of 61201000 is 10216.

It can be written as a sum of positive squares in 4 ways, for example, as 15476356 + 45724644 = 3934^2 + 6762^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (61201001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48376 + ... + 49624.

Almost surely, 2^61201000 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 61201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83362500).

61201000 is an abundant number, since it is smaller than the sum of its proper divisors (105524000).

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

61201000 is a wasteful number, since it uses less digits than its factorization.

61201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 61201000 is about 7823.1067997312. The cubic root of 61201000 is about 394.0816136429.

Adding to 61201000 its reverse (10216), we get a palindrome (61211216).

The spelling of 61201000 in words is "sixty-one million, two hundred one thousand".