96387400 has 48 divisors (see below), whose sum is σ = 226324800. Its totient is φ = 38172480.

The previous prime is 96387367. The next prime is 96387407. The reversal of 96387400 is 478369.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 96387400.

It is not an unprimeable number, because it can be changed into a prime (96387407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18261 + ... + 22939.

It is an arithmetic number, because the mean of its divisors is an integer number (4715100).

Almost surely, 2^96387400 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 96387400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113162400).

96387400 is an abundant number, since it is smaller than the sum of its proper divisors (129937400).

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

96387400 is a wasteful number, since it uses less digits than its factorization.

96387400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 96387400 is about 9817.7084902741. The cubic root of 96387400 is about 458.5007902337.

The spelling of 96387400 in words is "ninety-six million, three hundred eighty-seven thousand, four hundred".