70956900 has 162 divisors, whose sum is σ = 258883170. Its totient is φ = 16208640.

The previous prime is 70956857. The next prime is 70956911. The reversal of 70956900 is 965907.

It can be written as a sum of positive squares in 3 ways, for example, as 20575296 + 50381604 = 4536^2 + 7098^2 .

It is a super-2 number, since 2×70956900² = 10069763315220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 43296 + ... + 44904.

Almost surely, 2^70956900 is an apocalyptic number.

70956900 is a gapful number since it is divisible by the number (70) 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 70956900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129441585).

70956900 is an abundant number, since it is smaller than the sum of its proper divisors (187926270).

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

70956900 is a wasteful number, since it uses less digits than its factorization.

70956900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 70956900 is about 8423.5918704553. The cubic root of 70956900 is about 413.9979696043.

The spelling of 70956900 in words is "seventy million, nine hundred fifty-six thousand, nine hundred".