97739460 has 432 divisors, whose sum is σ = 402869376. Its totient is φ = 19408896.

The previous prime is 97739441. The next prime is 97739501. The reversal of 97739460 is 6493779.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5749372 + ... + 5749388.

It is an arithmetic number, because the mean of its divisors is an integer number (932568).

Almost surely, 2^97739460 is an apocalyptic number.

97739460 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 97739460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201434688).

97739460 is an abundant number, since it is smaller than the sum of its proper divisors (305129916).

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

97739460 is a wasteful number, since it uses less digits than its factorization.

97739460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

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

The square root of 97739460 is about 9886.3269215619. The cubic root of 97739460 is about 460.6346941238.

The spelling of 97739460 in words is "ninety-seven million, seven hundred thirty-nine thousand, four hundred sixty".