96614400 has 288 divisors, whose sum is σ = 347321520. Its totient is φ = 23592960.

The previous prime is 96614387. The next prime is 96614429. The reversal of 96614400 is 441669.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2611182 + ... + 2611218.

Almost surely, 2^96614400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

96614400 is an abundant number, since it is smaller than the sum of its proper divisors (250707120).

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

96614400 is a wasteful number, since it uses less digits than its factorization.

96614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 96614400 is about 9829.2624341809. The cubic root of 96614400 is about 458.8604433309.

It can be divided in two parts, 96 and 614400, that multiplied together give a square (58982400 = 7680²).

The spelling of 96614400 in words is "ninety-six million, six hundred fourteen thousand, four hundred".