97477560 has 128 divisors (see below), whose sum is σ = 332640000. Its totient is φ = 25377408.

The previous prime is 97477559. The next prime is 97477561. The reversal of 97477560 is 6577479.

It is an interprime number because it is at equal distance from previous prime (97477559) and next prime (97477561).

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 (97477561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45391 + ... + 47489.

It is an arithmetic number, because the mean of its divisors is an integer number (2598750).

Almost surely, 2^97477560 is an apocalyptic number.

97477560 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 97477560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320000).

97477560 is an abundant number, since it is smaller than the sum of its proper divisors (235162440).

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

97477560 is a wasteful number, since it uses less digits than its factorization.

97477560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 97477560 is about 9873.0724701078. The cubic root of 97477560 is about 460.2228913512. Note that the first 3 decimals are identical.

The spelling of 97477560 in words is "ninety-seven million, four hundred seventy-seven thousand, five hundred sixty".