61001600 has 96 divisors (see below), whose sum is σ = 164487240. Its totient is φ = 22169600.

The previous prime is 61001599. The next prime is 61001617. The reversal of 61001600 is 610016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34334 + ... + 36066.

Almost surely, 2^61001600 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 61001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82243620).

61001600 is an abundant number, since it is smaller than the sum of its proper divisors (103485640).

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

61001600 is a wasteful number, since it uses less digits than its factorization.

61001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 61001600 is about 7810.3521047389. The cubic root of 61001600 is about 393.6531600263.

Adding to 61001600 its reverse (610016), we get a palindrome (61611616).

Multiplying 61001600 by its reverse (610016), we get a square (37211952025600 = 6100160²).

61001600 divided by its reverse (610016) gives a square (100 = 10²).

The spelling of 61001600 in words is "sixty-one million, one thousand, six hundred".