97061760 has 256 divisors, whose sum is σ = 354715200. Its totient is φ = 25067520.

The previous prime is 97061737. The next prime is 97061791. The reversal of 97061760 is 6716079.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708412 + ... + 708548.

Almost surely, 2^97061760 is an apocalyptic number.

97061760 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 97061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177357600).

97061760 is an abundant number, since it is smaller than the sum of its proper divisors (257653440).

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

97061760 is a wasteful number, since it uses less digits than its factorization.

97061760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

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

The square root of 97061760 is about 9851.9926918365. The cubic root of 97061760 is about 459.5675835585.

The spelling of 97061760 in words is "ninety-seven million, sixty-one thousand, seven hundred sixty".