48165624 has 128 divisors (see below), whose sum is σ = 152712000. Its totient is φ = 13934592.

The previous prime is 48165617. The next prime is 48165629. The reversal of 48165624 is 42656184.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48165629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47232 + ... + 48240.

Almost surely, 2^48165624 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 48165624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76356000).

48165624 is an abundant number, since it is smaller than the sum of its proper divisors (104546376).

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

48165624 is a wasteful number, since it uses less digits than its factorization.

48165624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1044 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 48165624 is about 6940.1458197937. The cubic root of 48165624 is about 363.8416370252.

It can be divided in two parts, 4816 and 5624, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 48165624 in words is "forty-eight million, one hundred sixty-five thousand, six hundred twenty-four".