97781460 has 144 divisors (see below), whose sum is σ = 323285760. Its totient is φ = 22014720.

The previous prime is 97781447. The next prime is 97781461. The reversal of 97781460 is 6418779.

It is a super-2 number, since 2×97781460² = 19122427839463200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97781461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232050 + ... + 232470.

It is an arithmetic number, because the mean of its divisors is an integer number (2245040).

Almost surely, 2^97781460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97781460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161642880).

97781460 is an abundant number, since it is smaller than the sum of its proper divisors (225504300).

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

97781460 is a wasteful number, since it uses less digits than its factorization.

97781460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 97781460 is about 9888.4508392366. The cubic root of 97781460 is about 460.7006650450.

The spelling of 97781460 in words is "ninety-seven million, seven hundred eighty-one thousand, four hundred sixty".