960620040 has 128 divisors (see below), whose sum is σ = 3209500800. Its totient is φ = 255571200.

The previous prime is 960620029. The next prime is 960620053. The reversal of 960620040 is 40026069.

It is a super-2 number, since 2×960620040² = 1845581722499203200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 960619986 and 960620013.

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, 661315 + ... + 662765.

It is an arithmetic number, because the mean of its divisors is an integer number (25074225).

Almost surely, 2^960620040 is an apocalyptic number.

960620040 is a gapful number since it is divisible by the number (90) 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 960620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604750400).

960620040 is an abundant number, since it is smaller than the sum of its proper divisors (2248880760).

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

960620040 is a wasteful number, since it uses less digits than its factorization.

960620040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 960620040 is about 30993.8710070233. The cubic root of 960620040 is about 986.6971659877.

It can be divided in two parts, 9606 and 20040, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 960620040 in words is "nine hundred sixty million, six hundred twenty thousand, forty".