97570980 has 240 divisors, whose sum is σ = 340656624. Its totient is φ = 23224320.

The previous prime is 97570951. The next prime is 97571003. The reversal of 97570980 is 8907579.

It can be written as a sum of positive squares in 8 ways, for example, as 57426084 + 40144896 = 7578^2 + 6336^2 .

It is a super-2 number, since 2×97570980² = 19040192276320800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 863404 + ... + 863516.

Almost surely, 2^97570980 is an apocalyptic number.

97570980 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 97570980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170328312).

97570980 is an abundant number, since it is smaller than the sum of its proper divisors (243085644).

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

97570980 is a wasteful number, since it uses less digits than its factorization.

97570980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 97570980 is about 9877.8023871709. The cubic root of 97570980 is about 460.3698663577.

The spelling of 97570980 in words is "ninety-seven million, five hundred seventy thousand, nine hundred eighty".