61155968 has 48 divisors (see below), whose sum is σ = 125574750. Its totient is φ = 29666304.

The previous prime is 61155949. The next prime is 61155979. The reversal of 61155968 is 86955116.

It can be written as a sum of positive squares in 3 ways, for example, as 59105344 + 2050624 = 7688^2 + 1432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175058 + ... + 175406.

Almost surely, 2^61155968 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 61155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62787375).

61155968 is an abundant number, since it is smaller than the sum of its proper divisors (64418782).

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

61155968 is an equidigital number, since it uses as much as digits as its factorization.

61155968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 388 counting only the distinct ones).

The product of its digits is 64800, while the sum is 41.

The square root of 61155968 is about 7820.2281296648. The cubic root of 61155968 is about 393.9849341899.

The spelling of 61155968 in words is "sixty-one million, one hundred fifty-five thousand, nine hundred sixty-eight".