48615840 has 432 divisors, whose sum is σ = 211754088. Its totient is φ = 10063872.

The previous prime is 48615829. The next prime is 48615881. The reversal of 48615840 is 4851684.

It can be written as a sum of positive squares in 4 ways, for example, as 35569296 + 13046544 = 5964^2 + 3612^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 48615795 and 48615804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917254 + ... + 917306.

Almost surely, 2^48615840 is an apocalyptic number.

48615840 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 48615840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105877044).

48615840 is an abundant number, since it is smaller than the sum of its proper divisors (163138248).

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

48615840 is a wasteful number, since it uses less digits than its factorization.

48615840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 48615840 is about 6972.5060057342. The cubic root of 48615840 is about 364.9717623742.

It can be divided in two parts, 48615 and 840, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 48615840 in words is "forty-eight million, six hundred fifteen thousand, eight hundred forty".