97761600 has 336 divisors, whose sum is σ = 372912640. Its totient is φ = 24883200.

The previous prime is 97761583. The next prime is 97761617. The reversal of 97761600 is 616779.

It is an interprime number because it is at equal distance from previous prime (97761583) and next prime (97761617).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1339164 + ... + 1339236.

Almost surely, 2^97761600 is an apocalyptic number.

97761600 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 97761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186456320).

97761600 is an abundant number, since it is smaller than the sum of its proper divisors (275151040).

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

97761600 is a wasteful number, since it uses less digits than its factorization.

97761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 97761600 is about 9887.4465864550. The cubic root of 97761600 is about 460.6694725786.

The spelling of 97761600 in words is "ninety-seven million, seven hundred sixty-one thousand, six hundred".