70951440 has 160 divisors (see below), whose sum is σ = 253912320. Its totient is φ = 16054272.

The previous prime is 70951409. The next prime is 70951469. The reversal of 70951440 is 4415907.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 70951398 and 70951407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263626 + ... + 263894.

It is an arithmetic number, because the mean of its divisors is an integer number (1586952).

Almost surely, 2^70951440 is an apocalyptic number.

70951440 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 70951440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126956160).

70951440 is an abundant number, since it is smaller than the sum of its proper divisors (182960880).

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

70951440 is a wasteful number, since it uses less digits than its factorization.

70951440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 70951440 is about 8423.2677744448. The cubic root of 70951440 is about 413.9873505435.

It can be divided in two parts, 70 and 951440, that added together give a triangular number (951510 = T₁₃₇₉).

The spelling of 70951440 in words is "seventy million, nine hundred fifty-one thousand, four hundred forty".