48611880 has 256 divisors, whose sum is σ = 179712000. Its totient is φ = 11632896.

The previous prime is 48611879. The next prime is 48611897. The reversal of 48611880 is 8811684.

It is a super-2 number, since 2×48611880² = 4726229754268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471909 + ... + 472011.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 2^48611880 is an apocalyptic number.

48611880 is a gapful number since it is divisible by the number (40) 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 48611880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89856000).

48611880 is an abundant number, since it is smaller than the sum of its proper divisors (131100120).

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

48611880 is a wasteful number, since it uses less digits than its factorization.

48611880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 48611880 is about 6972.2220274458. Note that the first 3 decimals coincide. The cubic root of 48611880 is about 364.9618525216.

The spelling of 48611880 in words is "forty-eight million, six hundred eleven thousand, eight hundred eighty".