61061600 has 72 divisors (see below), whose sum is σ = 150490368. Its totient is φ = 24192000.

The previous prime is 61061579. The next prime is 61061621. The reversal of 61061600 is 616016.

It is an interprime number because it is at equal distance from previous prime (61061579) and next prime (61061621).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 101300 + ... + 101900.

It is an arithmetic number, because the mean of its divisors is an integer number (2090144).

Almost surely, 2^61061600 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 61061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75245184).

61061600 is an abundant number, since it is smaller than the sum of its proper divisors (89428768).

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

61061600 is a wasteful number, since it uses less digits than its factorization.

61061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 61061600 is about 7814.1922167298. The cubic root of 61061600 is about 393.7821809593.

Adding to 61061600 its reverse (616016), we get a palindrome (61677616).

The spelling of 61061600 in words is "sixty-one million, sixty-one thousand, six hundred".