61602000 has 80 divisors (see below), whose sum is σ = 198624192. Its totient is φ = 16425600.

The previous prime is 61601989. The next prime is 61602001. The reversal of 61602000 is 20616.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61602001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867 + ... + 11133.

Almost surely, 2^61602000 is an apocalyptic number.

61602000 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 61602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99312096).

61602000 is an abundant number, since it is smaller than the sum of its proper divisors (137022192).

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

61602000 is a wasteful number, since it uses less digits than its factorization.

61602000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10293 (or 10277 counting only the distinct ones).

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

The square root of 61602000 is about 7848.6941589031. The cubic root of 61602000 is about 394.9404385971.

Adding to 61602000 its reverse (20616), we get a palindrome (61622616).

The spelling of 61602000 in words is "sixty-one million, six hundred two thousand".