48693960 has 320 divisors, whose sum is σ = 198633600. Its totient is φ = 10450944.

The previous prime is 48693919. The next prime is 48693973. The reversal of 48693960 is 6939684.

It is a super-2 number, since 2×48693960² = 4742203480963200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 430864 + ... + 430976.

It is an arithmetic number, because the mean of its divisors is an integer number (620730).

Almost surely, 2^48693960 is an apocalyptic number.

48693960 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 48693960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99316800).

48693960 is an abundant number, since it is smaller than the sum of its proper divisors (149939640).

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

48693960 is a wasteful number, since it uses less digits than its factorization.

48693960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 48693960 is about 6978.1057601616. The cubic root of 48693960 is about 365.1671468147.

The spelling of 48693960 in words is "forty-eight million, six hundred ninety-three thousand, nine hundred sixty".