96390000 has 500 divisors, whose sum is σ = 421852464. Its totient is φ = 20736000.

The previous prime is 96389957. The next prime is 96390043. The reversal of 96390000 is 9369.

It is an interprime number because it is at equal distance from previous prime (96389957) and next prime (96390043).

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 5669992 + ... + 5670008.

Almost surely, 2^96390000 is an apocalyptic number.

96390000 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 96390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210926232).

96390000 is an abundant number, since it is smaller than the sum of its proper divisors (325462464).

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

96390000 is a wasteful number, since it uses less digits than its factorization.

96390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 96390000 is about 9817.8409031721. The cubic root of 96390000 is about 458.5049128035.

Adding to 96390000 its reverse (9369), we get a palindrome (96399369).

The spelling of 96390000 in words is "ninety-six million, three hundred ninety thousand".