97914960 has 320 divisors, whose sum is σ = 397474560. Its totient is φ = 21841920.

The previous prime is 97914953. The next prime is 97914997. The reversal of 97914960 is 6941979.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308722 + ... + 309038.

It is an arithmetic number, because the mean of its divisors is an integer number (1242108).

Almost surely, 2^97914960 is an apocalyptic number.

97914960 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 97914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198737280).

97914960 is an abundant number, since it is smaller than the sum of its proper divisors (299559600).

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

97914960 is a wasteful number, since it uses less digits than its factorization.

97914960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 97914960 is about 9895.1988357991. The cubic root of 97914960 is about 460.9102329595.

The spelling of 97914960 in words is "ninety-seven million, nine hundred fourteen thousand, nine hundred sixty".