97851600 has 360 divisors, whose sum is σ = 424562112. Its totient is φ = 20275200.

The previous prime is 97851599. The next prime is 97851601. The reversal of 97851600 is 615879.

It is an interprime number because it is at equal distance from previous prime (97851599) and next prime (97851601).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97851601) 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, 277024 + ... + 277376.

Almost surely, 2^97851600 is an apocalyptic number.

97851600 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 97851600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212281056).

97851600 is an abundant number, since it is smaller than the sum of its proper divisors (326710512).

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

97851600 is a wasteful number, since it uses less digits than its factorization.

97851600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 97851600 is about 9891.9967650621. The cubic root of 97851600 is about 460.8107943797.

The spelling of 97851600 in words is "ninety-seven million, eight hundred fifty-one thousand, six hundred".