53761890 has 128 divisors (see below), whose sum is σ = 162570240. Its totient is φ = 11075328.

The previous prime is 53761867. The next prime is 53761901. The reversal of 53761890 is 9816735.

53761890 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 (39).

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 63 ways as a sum of consecutive naturals, for example, 128101 + ... + 128519.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^53761890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53761890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

53761890 is an abundant number, since it is smaller than the sum of its proper divisors (108808350).

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

53761890 is a wasteful number, since it uses less digits than its factorization.

53761890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 53761890 is about 7332.2499957380. The cubic root of 53761890 is about 377.4199412116.

The spelling of 53761890 in words is "fifty-three million, seven hundred sixty-one thousand, eight hundred ninety".