70993440 has 144 divisors (see below), whose sum is σ = 276913728. Its totient is φ = 16224768.

The previous prime is 70993409. The next prime is 70993451. The reversal of 70993440 is 4439907.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 70993395 and 70993404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6559 + ... + 13601.

It is an arithmetic number, because the mean of its divisors is an integer number (1923012).

Almost surely, 2^70993440 is an apocalyptic number.

70993440 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 70993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138456864).

70993440 is an abundant number, since it is smaller than the sum of its proper divisors (205920288).

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

70993440 is a wasteful number, since it uses less digits than its factorization.

70993440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7071 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 70993440 is about 8425.7604998006. The cubic root of 70993440 is about 414.0690216084.

It can be divided in two parts, 709 and 93440, that added together give a palindrome (94149).

The spelling of 70993440 in words is "seventy million, nine hundred ninety-three thousand, four hundred forty".