97493760 has 576 divisors, whose sum is σ = 439541760. Its totient is φ = 19906560.

The previous prime is 97493749. The next prime is 97493761. The reversal of 97493760 is 6739479.

97493760 is a `hidden beast` number, since 97 + 493 + 76 + 0 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97493761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144945 + ... + 3144975.

Almost surely, 2^97493760 is an apocalyptic number.

97493760 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 97493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219770880).

97493760 is an abundant number, since it is smaller than the sum of its proper divisors (342048000).

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

97493760 is a wasteful number, since it uses less digits than its factorization.

97493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 97493760 is about 9873.8928493275. The cubic root of 97493760 is about 460.2483850746.

The spelling of 97493760 in words is "ninety-seven million, four hundred ninety-three thousand, seven hundred sixty".