96362640 has 240 divisors, whose sum is σ = 369083520. Its totient is φ = 22344960.

The previous prime is 96362633. The next prime is 96362653. The reversal of 96362640 is 4626369.

96362640 is a `hidden beast` number, since 9 + 6 + 3 + 6 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 96362595 and 96362604.

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, 4189669 + ... + 4189691.

It is an arithmetic number, because the mean of its divisors is an integer number (1537848).

Almost surely, 2^96362640 is an apocalyptic number.

96362640 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 96362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184541760).

96362640 is an abundant number, since it is smaller than the sum of its proper divisors (272720880).

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

96362640 is a wasteful number, since it uses less digits than its factorization.

96362640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 96362640 is about 9816.4474225659. The cubic root of 96362640 is about 458.4615269698.

The spelling of 96362640 in words is "ninety-six million, three hundred sixty-two thousand, six hundred forty".