96287400 has 192 divisors, whose sum is σ = 362030400. Its totient is φ = 23328000.

The previous prime is 96287381. The next prime is 96287417. The reversal of 96287400 is 478269.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58590 + ... + 60210.

It is an arithmetic number, because the mean of its divisors is an integer number (1885575).

Almost surely, 2^96287400 is an apocalyptic number.

96287400 is a gapful number since it is divisible by the number (90) 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 96287400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181015200).

96287400 is an abundant number, since it is smaller than the sum of its proper divisors (265743000).

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

96287400 is a wasteful number, since it uses less digits than its factorization.

96287400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 96287400 is about 9812.6143305441. The cubic root of 96287400 is about 458.3421735669.

It can be divided in two parts, 96 and 287400, that added together give a cube (287496 = 66³).

The spelling of 96287400 in words is "ninety-six million, two hundred eighty-seven thousand, four hundred".