70986900 has 144 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 17203200.

The previous prime is 70986893. The next prime is 70986913. The reversal of 70986900 is 968907.

70986900 = 71² + 72² + ... + 597².

It is a super-2 number, since 2×70986900² = 10078279943220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157876 + ... + 158324.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^70986900 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 70986900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

70986900 is an abundant number, since it is smaller than the sum of its proper divisors (153998700).

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

70986900 is a wasteful number, since it uses less digits than its factorization.

70986900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 70986900 is about 8425.3723953307. The cubic root of 70986900 is about 414.0563063747.

The spelling of 70986900 in words is "seventy million, nine hundred eighty-six thousand, nine hundred".