1207907064 has 384 divisors, whose sum is σ = 4388966400. Its totient is φ = 291133440.

The previous prime is 1207907053. The next prime is 1207907087. The reversal of 1207907064 is 4607097021.

1207907064 = T₂₀₇ + T₂₀₈ + ... + T₁₉₃₅.

It is a happy number.

It is a super-2 number, since 2×1207907064² = 2918078950522200192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3858972 + ... + 3859284.

It is an arithmetic number, because the mean of its divisors is an integer number (11429600).

Almost surely, 2^1207907064 is an apocalyptic number.

1207907064 is a gapful number since it is divisible by the number (14) 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 1207907064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194483200).

1207907064 is an abundant number, since it is smaller than the sum of its proper divisors (3181059336).

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

1207907064 is a wasteful number, since it uses less digits than its factorization.

1207907064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1207907064 is about 34754.9574017866. The cubic root of 1207907064 is about 1064.9874917528.

The spelling of 1207907064 in words is "one billion, two hundred seven million, nine hundred seven thousand, sixty-four".