61198956 has 144 divisors (see below), whose sum is σ = 196761600. Its totient is φ = 16106688.

The previous prime is 61198931. The next prime is 61198957. The reversal of 61198956 is 65989116.

It is a super-3 number, since 3×61198956³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61198957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127525 + ... + 128003.

It is an arithmetic number, because the mean of its divisors is an integer number (1366400).

Almost surely, 2^61198956 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 61198956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98380800).

61198956 is an abundant number, since it is smaller than the sum of its proper divisors (135562644).

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

61198956 is a wasteful number, since it uses less digits than its factorization.

61198956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 504 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 61198956 is about 7822.9761600046. The cubic root of 61198956 is about 394.0772263955.

The spelling of 61198956 in words is "sixty-one million, one hundred ninety-eight thousand, nine hundred fifty-six".