61153950 has 96 divisors (see below), whose sum is σ = 178238592. Its totient is φ = 13680000.

The previous prime is 61153949. The next prime is 61153969. The reversal of 61153950 is 5935116.

61153950 = T₃₃₂₉ + T₃₃₃₀ + ... + T₃₃₃₉.

61153950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20025 + ... + 22875.

It is an arithmetic number, because the mean of its divisors is an integer number (1856652).

Almost surely, 2^61153950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61153950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89119296).

61153950 is an abundant number, since it is smaller than the sum of its proper divisors (117084642).

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

61153950 is a wasteful number, since it uses less digits than its factorization.

61153950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 61153950 is about 7820.0991042314. The cubic root of 61153950 is about 393.9806006235.

The spelling of 61153950 in words is "sixty-one million, one hundred fifty-three thousand, nine hundred fifty".