96969600 has 576 divisors, whose sum is σ = 437367840. Its totient is φ = 19906560.

The previous prime is 96969539. The next prime is 96969611. The reversal of 96969600 is 696969.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2620782 + ... + 2620818.

Almost surely, 2^96969600 is an apocalyptic number.

96969600 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 96969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218683920).

96969600 is an abundant number, since it is smaller than the sum of its proper divisors (340398240).

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

96969600 is a wasteful number, since it uses less digits than its factorization.

96969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 96969600 is about 9847.3143546857. The cubic root of 96969600 is about 459.4220845810.

It can be divided in two parts, 9 and 6969600, that multiplied together give a square (62726400 = 7920²).

The spelling of 96969600 in words is "ninety-six million, nine hundred sixty-nine thousand, six hundred".