96762600 has 288 divisors, whose sum is σ = 369663840. Its totient is φ = 23328000.

The previous prime is 96762593. The next prime is 96762607. The reversal of 96762600 is 626769.

It is an interprime number because it is at equal distance from previous prime (96762593) and next prime (96762607).

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

It is not an unprimeable number, because it can be changed into a prime (96762607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534510 + ... + 534690.

It is an arithmetic number, because the mean of its divisors is an integer number (1283555).

Almost surely, 2^96762600 is an apocalyptic number.

96762600 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 96762600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184831920).

96762600 is an abundant number, since it is smaller than the sum of its proper divisors (272901240).

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

96762600 is a wasteful number, since it uses less digits than its factorization.

96762600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 96762600 is about 9836.7982595965. The cubic root of 96762600 is about 459.0949438352.

The spelling of 96762600 in words is "ninety-six million, seven hundred sixty-two thousand, six hundred".