61159200 has 144 divisors (see below), whose sum is σ = 210924000. Its totient is φ = 15339520.

The previous prime is 61159171. The next prime is 61159207. The reversal of 61159200 is 295116.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (61159207) 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, 40051 + ... + 41549.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^61159200 is an apocalyptic number.

61159200 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 61159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105462000).

61159200 is an abundant number, since it is smaller than the sum of its proper divisors (149764800).

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

61159200 is a wasteful number, since it uses less digits than its factorization.

61159200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 61159200 is about 7820.4347705227. The cubic root of 61159200 is about 393.9918745694.

The spelling of 61159200 in words is "sixty-one million, one hundred fifty-nine thousand, two hundred".