48810672 has 120 divisors (see below), whose sum is σ = 146704896. Its totient is φ = 15095808.

The previous prime is 48810667. The next prime is 48810679. The reversal of 48810672 is 27601884.

48810672 is a `hidden beast` number, since 488 + 106 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (48810679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310818 + ... + 310974.

Almost surely, 2^48810672 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 48810672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73352448).

48810672 is an abundant number, since it is smaller than the sum of its proper divisors (97894224).

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

48810672 is a wasteful number, since it uses less digits than its factorization.

48810672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 48810672 is about 6986.4634830506. The cubic root of 48810672 is about 365.4586640281.

The spelling of 48810672 in words is "forty-eight million, eight hundred ten thousand, six hundred seventy-two".