70491600 has 240 divisors, whose sum is σ = 257394240. Its totient is φ = 18316800.

The previous prime is 70491599. The next prime is 70491611. The reversal of 70491600 is 619407.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658747 + ... + 658853.

It is an arithmetic number, because the mean of its divisors is an integer number (1072476).

Almost surely, 2^70491600 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 70491600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128697120).

70491600 is an abundant number, since it is smaller than the sum of its proper divisors (186902640).

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

70491600 is a wasteful number, since it uses less digits than its factorization.

70491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 70491600 is about 8395.9275842518. The cubic root of 70491600 is about 413.0910535267.

It can be divided in two parts, 7049 and 1600, that added together give a square (8649 = 93²).

The spelling of 70491600 in words is "seventy million, four hundred ninety-one thousand, six hundred".